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Finding the Third Proportional to 124,928 and 187,264

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Solution

The third proportional to 124,928 and 187,264 is: 280,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,928 : 187,264 = 187,264 : x
  2. Step 2: Convert to fraction form
    124,928/187,264 = 187,264/x
  3. Step 3: Cross multiply
    124,928x = 187,264 × 187,264
  4. Step 4: Simplify right side
    124,928x = 35,067,805,696
  5. Step 5: Solve for x
    x = 35,067,805,696/124,928
  6. Step 6: Final answer
    x = 280,704.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.