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Finding the Third Proportional to 87,619 and 137,269

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Solution

The third proportional to 87,619 and 137,269 is: 215,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,619 : 137,269 = 137,269 : x
  2. Step 2: Convert to fraction form
    87,619/137,269 = 137,269/x
  3. Step 3: Cross multiply
    87,619x = 137,269 × 137,269
  4. Step 4: Simplify right side
    87,619x = 18,842,778,361
  5. Step 5: Solve for x
    x = 18,842,778,361/87,619
  6. Step 6: Final answer
    x = 215,053.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.