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Finding the Third Proportional to 62,332 and 135,232

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Solution

The third proportional to 62,332 and 135,232 is: 293,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,332 : 135,232 = 135,232 : x
  2. Step 2: Convert to fraction form
    62,332/135,232 = 135,232/x
  3. Step 3: Cross multiply
    62,332x = 135,232 × 135,232
  4. Step 4: Simplify right side
    62,332x = 18,287,693,824
  5. Step 5: Solve for x
    x = 18,287,693,824/62,332
  6. Step 6: Final answer
    x = 293,391.74

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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.