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Finding the Third Proportional to 40,126 and 62,125

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Solution

The third proportional to 40,126 and 62,125 is: 96,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,126 : 62,125 = 62,125 : x
  2. Step 2: Convert to fraction form
    40,126/62,125 = 62,125/x
  3. Step 3: Cross multiply
    40,126x = 62,125 × 62,125
  4. Step 4: Simplify right side
    40,126x = 3,859,515,625
  5. Step 5: Solve for x
    x = 3,859,515,625/40,126
  6. Step 6: Final answer
    x = 96,184.91

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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.