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Finding the Third Proportional to 41,742 and 62,127

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Solution

The third proportional to 41,742 and 62,127 is: 92,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742 : 62,127 = 62,127 : x
  2. Step 2: Convert to fraction form
    41,742/62,127 = 62,127/x
  3. Step 3: Cross multiply
    41,742x = 62,127 × 62,127
  4. Step 4: Simplify right side
    41,742x = 3,859,764,129
  5. Step 5: Solve for x
    x = 3,859,764,129/41,742
  6. Step 6: Final answer
    x = 92,467.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.