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Finding the Third Proportional to 83,490.75 and 129,124.13

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Solution

The third proportional to 83,490.75 and 129,124.13 is: 199,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490.75 : 129,124.13 = 129,124.13 : x
  2. Step 2: Convert to fraction form
    83,490.75/129,124.13 = 129,124.13/x
  3. Step 3: Cross multiply
    83,490.75x = 129,124.13 × 129,124.13
  4. Step 4: Simplify right side
    83,490.75x = 16,673,039,657.02
  5. Step 5: Solve for x
    x = 16,673,039,657.02/83,490.75
  6. Step 6: Final answer
    x = 199,699.24

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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.