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Finding the Third Proportional to 40,132 and 62,112

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Solution

The third proportional to 40,132 and 62,112 is: 96,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,132 : 62,112 = 62,112 : x
  2. Step 2: Convert to fraction form
    40,132/62,112 = 62,112/x
  3. Step 3: Cross multiply
    40,132x = 62,112 × 62,112
  4. Step 4: Simplify right side
    40,132x = 3,857,900,544
  5. Step 5: Solve for x
    x = 3,857,900,544/40,132
  6. Step 6: Final answer
    x = 96,130.28

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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.