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Finding the Third Proportional to 62,264 and 137,612

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Solution

The third proportional to 62,264 and 137,612 is: 304,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,264 : 137,612 = 137,612 : x
  2. Step 2: Convert to fraction form
    62,264/137,612 = 137,612/x
  3. Step 3: Cross multiply
    62,264x = 137,612 × 137,612
  4. Step 4: Simplify right side
    62,264x = 18,937,062,544
  5. Step 5: Solve for x
    x = 18,937,062,544/62,264
  6. Step 6: Final answer
    x = 304,141.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.