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Finding the Third Proportional to 87,586 and 135,877

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Solution

The third proportional to 87,586 and 135,877 is: 210,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,586 : 135,877 = 135,877 : x
  2. Step 2: Convert to fraction form
    87,586/135,877 = 135,877/x
  3. Step 3: Cross multiply
    87,586x = 135,877 × 135,877
  4. Step 4: Simplify right side
    87,586x = 18,462,559,129
  5. Step 5: Solve for x
    x = 18,462,559,129/87,586
  6. Step 6: Final answer
    x = 210,793.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.