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Finding the Third Proportional to 41,153.75 and 90,171.63

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Solution

The third proportional to 41,153.75 and 90,171.63 is: 197,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,153.75 : 90,171.63 = 90,171.63 : x
  2. Step 2: Convert to fraction form
    41,153.75/90,171.63 = 90,171.63/x
  3. Step 3: Cross multiply
    41,153.75x = 90,171.63 × 90,171.63
  4. Step 4: Simplify right side
    41,153.75x = 8,130,921,955.14
  5. Step 5: Solve for x
    x = 8,130,921,955.14/41,153.75
  6. Step 6: Final answer
    x = 197,574.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.