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Finding the Third Proportional to 113,256.56 and 153,276.75

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Solution

The third proportional to 113,256.56 and 153,276.75 is: 207,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,256.56 : 153,276.75 = 153,276.75 : x
  2. Step 2: Convert to fraction form
    113,256.56/153,276.75 = 153,276.75/x
  3. Step 3: Cross multiply
    113,256.56x = 153,276.75 × 153,276.75
  4. Step 4: Simplify right side
    113,256.56x = 23,493,762,090.56
  5. Step 5: Solve for x
    x = 23,493,762,090.56/113,256.56
  6. Step 6: Final answer
    x = 207,438.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.