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Finding the Third Proportional to 83,497.50 and 172,901.25

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Solution

The third proportional to 83,497.50 and 172,901.25 is: 358,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,497.50 : 172,901.25 = 172,901.25 : x
  2. Step 2: Convert to fraction form
    83,497.50/172,901.25 = 172,901.25/x
  3. Step 3: Cross multiply
    83,497.50x = 172,901.25 × 172,901.25
  4. Step 4: Simplify right side
    83,497.50x = 29,894,842,251.56
  5. Step 5: Solve for x
    x = 29,894,842,251.56/83,497.50
  6. Step 6: Final answer
    x = 358,032.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.