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Finding the Third Proportional to 115,746.47 and 153,621.56

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Solution

The third proportional to 115,746.47 and 153,621.56 is: 203,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,746.47 : 153,621.56 = 153,621.56 : x
  2. Step 2: Convert to fraction form
    115,746.47/153,621.56 = 153,621.56/x
  3. Step 3: Cross multiply
    115,746.47x = 153,621.56 × 153,621.56
  4. Step 4: Simplify right side
    115,746.47x = 23,599,584,464.94
  5. Step 5: Solve for x
    x = 23,599,584,464.94/115,746.47
  6. Step 6: Final answer
    x = 203,890.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.