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Finding the Third Proportional to 59,868 and 91,624

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Solution

The third proportional to 59,868 and 91,624 is: 140,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,868 : 91,624 = 91,624 : x
  2. Step 2: Convert to fraction form
    59,868/91,624 = 91,624/x
  3. Step 3: Cross multiply
    59,868x = 91,624 × 91,624
  4. Step 4: Simplify right side
    59,868x = 8,394,957,376
  5. Step 5: Solve for x
    x = 8,394,957,376/59,868
  6. Step 6: Final answer
    x = 140,224.45

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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.