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Finding the Third Proportional to 124,540 and 193,372

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Solution

The third proportional to 124,540 and 193,372 is: 300,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,540 : 193,372 = 193,372 : x
  2. Step 2: Convert to fraction form
    124,540/193,372 = 193,372/x
  3. Step 3: Cross multiply
    124,540x = 193,372 × 193,372
  4. Step 4: Simplify right side
    124,540x = 37,392,730,384
  5. Step 5: Solve for x
    x = 37,392,730,384/124,540
  6. Step 6: Final answer
    x = 300,246.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.