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Finding the Third Proportional to 71,574 and 107,317

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Solution

The third proportional to 71,574 and 107,317 is: 160,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574 : 107,317 = 107,317 : x
  2. Step 2: Convert to fraction form
    71,574/107,317 = 107,317/x
  3. Step 3: Cross multiply
    71,574x = 107,317 × 107,317
  4. Step 4: Simplify right side
    71,574x = 11,516,938,489
  5. Step 5: Solve for x
    x = 11,516,938,489/71,574
  6. Step 6: Final answer
    x = 160,909.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.