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Finding the Third Proportional to 62,332 and 135,120

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Solution

The third proportional to 62,332 and 135,120 is: 292,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,332 : 135,120 = 135,120 : x
  2. Step 2: Convert to fraction form
    62,332/135,120 = 135,120/x
  3. Step 3: Cross multiply
    62,332x = 135,120 × 135,120
  4. Step 4: Simplify right side
    62,332x = 18,257,414,400
  5. Step 5: Solve for x
    x = 18,257,414,400/62,332
  6. Step 6: Final answer
    x = 292,905.96

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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.