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Finding the Third Proportional to 83,501 and 129,309

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Solution

The third proportional to 83,501 and 129,309 is: 200,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501 : 129,309 = 129,309 : x
  2. Step 2: Convert to fraction form
    83,501/129,309 = 129,309/x
  3. Step 3: Cross multiply
    83,501x = 129,309 × 129,309
  4. Step 4: Simplify right side
    83,501x = 16,720,817,481
  5. Step 5: Solve for x
    x = 16,720,817,481/83,501
  6. Step 6: Final answer
    x = 200,246.91

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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.