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Finding the Third Proportional to 87,354.84 and 187,167.38

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Solution

The third proportional to 87,354.84 and 187,167.38 is: 401,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,354.84 : 187,167.38 = 187,167.38 : x
  2. Step 2: Convert to fraction form
    87,354.84/187,167.38 = 187,167.38/x
  3. Step 3: Cross multiply
    87,354.84x = 187,167.38 × 187,167.38
  4. Step 4: Simplify right side
    87,354.84x = 35,031,626,264.39
  5. Step 5: Solve for x
    x = 35,031,626,264.39/87,354.84
  6. Step 6: Final answer
    x = 401,026.72

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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.