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Finding the Third Proportional to 71,440 and 100,632

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Solution

The third proportional to 71,440 and 100,632 is: 141,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,440 : 100,632 = 100,632 : x
  2. Step 2: Convert to fraction form
    71,440/100,632 = 100,632/x
  3. Step 3: Cross multiply
    71,440x = 100,632 × 100,632
  4. Step 4: Simplify right side
    71,440x = 10,126,799,424
  5. Step 5: Solve for x
    x = 10,126,799,424/71,440
  6. Step 6: Final answer
    x = 141,752.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.