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Finding the Third Proportional to 87,595.50 and 181,413

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Solution

The third proportional to 87,595.50 and 181,413 is: 375,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,595.50 : 181,413 = 181,413 : x
  2. Step 2: Convert to fraction form
    87,595.50/181,413 = 181,413/x
  3. Step 3: Cross multiply
    87,595.50x = 181,413 × 181,413
  4. Step 4: Simplify right side
    87,595.50x = 32,910,676,569
  5. Step 5: Solve for x
    x = 32,910,676,569/87,595.50
  6. Step 6: Final answer
    x = 375,711.96

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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.