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Finding the Third Proportional to 124,427 and 192,981

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Solution

The third proportional to 124,427 and 192,981 is: 299,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,427 : 192,981 = 192,981 : x
  2. Step 2: Convert to fraction form
    124,427/192,981 = 192,981/x
  3. Step 3: Cross multiply
    124,427x = 192,981 × 192,981
  4. Step 4: Simplify right side
    124,427x = 37,241,666,361
  5. Step 5: Solve for x
    x = 37,241,666,361/124,427
  6. Step 6: Final answer
    x = 299,305.35

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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.