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Finding the Third Proportional to 107,292 and 157,651

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Solution

The third proportional to 107,292 and 157,651 is: 231,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,292 : 157,651 = 157,651 : x
  2. Step 2: Convert to fraction form
    107,292/157,651 = 157,651/x
  3. Step 3: Cross multiply
    107,292x = 157,651 × 157,651
  4. Step 4: Simplify right side
    107,292x = 24,853,837,801
  5. Step 5: Solve for x
    x = 24,853,837,801/107,292
  6. Step 6: Final answer
    x = 231,646.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.