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Finding the Third Proportional to 59,877 and 91,638

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Solution

The third proportional to 59,877 and 91,638 is: 140,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,877 : 91,638 = 91,638 : x
  2. Step 2: Convert to fraction form
    59,877/91,638 = 91,638/x
  3. Step 3: Cross multiply
    59,877x = 91,638 × 91,638
  4. Step 4: Simplify right side
    59,877x = 8,397,523,044
  5. Step 5: Solve for x
    x = 8,397,523,044/59,877
  6. Step 6: Final answer
    x = 140,246.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.