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Finding the Third Proportional to 62,562 and 135,192

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Solution

The third proportional to 62,562 and 135,192 is: 292,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,562 : 135,192 = 135,192 : x
  2. Step 2: Convert to fraction form
    62,562/135,192 = 135,192/x
  3. Step 3: Cross multiply
    62,562x = 135,192 × 135,192
  4. Step 4: Simplify right side
    62,562x = 18,276,876,864
  5. Step 5: Solve for x
    x = 18,276,876,864/62,562
  6. Step 6: Final answer
    x = 292,140.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.