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Finding the Third Proportional to 83,606 and 129,598

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Solution

The third proportional to 83,606 and 129,598 is: 200,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,606 : 129,598 = 129,598 : x
  2. Step 2: Convert to fraction form
    83,606/129,598 = 129,598/x
  3. Step 3: Cross multiply
    83,606x = 129,598 × 129,598
  4. Step 4: Simplify right side
    83,606x = 16,795,641,604
  5. Step 5: Solve for x
    x = 16,795,641,604/83,606
  6. Step 6: Final answer
    x = 200,890.39

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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.