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Finding the Third Proportional to 62,332 and 135,112

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Solution

The third proportional to 62,332 and 135,112 is: 292,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,332 : 135,112 = 135,112 : x
  2. Step 2: Convert to fraction form
    62,332/135,112 = 135,112/x
  3. Step 3: Cross multiply
    62,332x = 135,112 × 135,112
  4. Step 4: Simplify right side
    62,332x = 18,255,252,544
  5. Step 5: Solve for x
    x = 18,255,252,544/62,332
  6. Step 6: Final answer
    x = 292,871.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.