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Finding the Third Proportional to 124,866 and 186,561

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Solution

The third proportional to 124,866 and 186,561 is: 278,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,866 : 186,561 = 186,561 : x
  2. Step 2: Convert to fraction form
    124,866/186,561 = 186,561/x
  3. Step 3: Cross multiply
    124,866x = 186,561 × 186,561
  4. Step 4: Simplify right side
    124,866x = 34,805,006,721
  5. Step 5: Solve for x
    x = 34,805,006,721/124,866
  6. Step 6: Final answer
    x = 278,738.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.