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Finding the Third Proportional to 84,742 and 124,521

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Solution

The third proportional to 84,742 and 124,521 is: 182,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,742 : 124,521 = 124,521 : x
  2. Step 2: Convert to fraction form
    84,742/124,521 = 124,521/x
  3. Step 3: Cross multiply
    84,742x = 124,521 × 124,521
  4. Step 4: Simplify right side
    84,742x = 15,505,479,441
  5. Step 5: Solve for x
    x = 15,505,479,441/84,742
  6. Step 6: Final answer
    x = 182,972.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.