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Finding the Third Proportional to 83,560 and 129,298

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Solution

The third proportional to 83,560 and 129,298 is: 200,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,560 : 129,298 = 129,298 : x
  2. Step 2: Convert to fraction form
    83,560/129,298 = 129,298/x
  3. Step 3: Cross multiply
    83,560x = 129,298 × 129,298
  4. Step 4: Simplify right side
    83,560x = 16,717,972,804
  5. Step 5: Solve for x
    x = 16,717,972,804/83,560
  6. Step 6: Final answer
    x = 200,071.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.