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Finding the Third Proportional to 124,868 and 191,469

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Solution

The third proportional to 124,868 and 191,469 is: 293,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,868 : 191,469 = 191,469 : x
  2. Step 2: Convert to fraction form
    124,868/191,469 = 191,469/x
  3. Step 3: Cross multiply
    124,868x = 191,469 × 191,469
  4. Step 4: Simplify right side
    124,868x = 36,660,377,961
  5. Step 5: Solve for x
    x = 36,660,377,961/124,868
  6. Step 6: Final answer
    x = 293,593.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.