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Finding the Third Proportional to 83,497.50 and 129,438

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Solution

The third proportional to 83,497.50 and 129,438 is: 200,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.50 : 129,438 = 129,438 : x
  2. Step 2: Convert to fraction form
    83,497.50/129,438 = 129,438/x
  3. Step 3: Cross multiply
    83,497.50x = 129,438 × 129,438
  4. Step 4: Simplify right side
    83,497.50x = 16,754,195,844
  5. Step 5: Solve for x
    x = 16,754,195,844/83,497.50
  6. Step 6: Final answer
    x = 200,655.06

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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.