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Finding the Third Proportional to 87,658.50 and 187,467

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Solution

The third proportional to 87,658.50 and 187,467 is: 400,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,658.50 : 187,467 = 187,467 : x
  2. Step 2: Convert to fraction form
    87,658.50/187,467 = 187,467/x
  3. Step 3: Cross multiply
    87,658.50x = 187,467 × 187,467
  4. Step 4: Simplify right side
    87,658.50x = 35,143,876,089
  5. Step 5: Solve for x
    x = 35,143,876,089/87,658.50
  6. Step 6: Final answer
    x = 400,918.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.