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Finding the Third Proportional to 124,407 and 192,948

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Solution

The third proportional to 124,407 and 192,948 is: 299,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,407 : 192,948 = 192,948 : x
  2. Step 2: Convert to fraction form
    124,407/192,948 = 192,948/x
  3. Step 3: Cross multiply
    124,407x = 192,948 × 192,948
  4. Step 4: Simplify right side
    124,407x = 37,228,930,704
  5. Step 5: Solve for x
    x = 37,228,930,704/124,407
  6. Step 6: Final answer
    x = 299,251.09

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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.