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Finding the Third Proportional to 78,571 and 169,591

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Solution

The third proportional to 78,571 and 169,591 is: 366,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571 : 169,591 = 169,591 : x
  2. Step 2: Convert to fraction form
    78,571/169,591 = 169,591/x
  3. Step 3: Cross multiply
    78,571x = 169,591 × 169,591
  4. Step 4: Simplify right side
    78,571x = 28,761,107,281
  5. Step 5: Solve for x
    x = 28,761,107,281/78,571
  6. Step 6: Final answer
    x = 366,052.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.