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Finding the Third Proportional to 80,708 and 187,550

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Solution

The third proportional to 80,708 and 187,550 is: 435,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,708 : 187,550 = 187,550 : x
  2. Step 2: Convert to fraction form
    80,708/187,550 = 187,550/x
  3. Step 3: Cross multiply
    80,708x = 187,550 × 187,550
  4. Step 4: Simplify right side
    80,708x = 35,175,002,500
  5. Step 5: Solve for x
    x = 35,175,002,500/80,708
  6. Step 6: Final answer
    x = 435,830.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.