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Finding the Third Proportional to 71,688 and 100,287

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Solution

The third proportional to 71,688 and 100,287 is: 140,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,688 : 100,287 = 100,287 : x
  2. Step 2: Convert to fraction form
    71,688/100,287 = 100,287/x
  3. Step 3: Cross multiply
    71,688x = 100,287 × 100,287
  4. Step 4: Simplify right side
    71,688x = 10,057,482,369
  5. Step 5: Solve for x
    x = 10,057,482,369/71,688
  6. Step 6: Final answer
    x = 140,295.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.