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Finding the Third Proportional to 87,536.50 and 138,959

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Solution

The third proportional to 87,536.50 and 138,959 is: 220,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,536.50 : 138,959 = 138,959 : x
  2. Step 2: Convert to fraction form
    87,536.50/138,959 = 138,959/x
  3. Step 3: Cross multiply
    87,536.50x = 138,959 × 138,959
  4. Step 4: Simplify right side
    87,536.50x = 19,309,603,681
  5. Step 5: Solve for x
    x = 19,309,603,681/87,536.50
  6. Step 6: Final answer
    x = 220,589.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.