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Finding the Third Proportional to 124,956 and 269,870

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Solution

The third proportional to 124,956 and 269,870 is: 582,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,956 : 269,870 = 269,870 : x
  2. Step 2: Convert to fraction form
    124,956/269,870 = 269,870/x
  3. Step 3: Cross multiply
    124,956x = 269,870 × 269,870
  4. Step 4: Simplify right side
    124,956x = 72,829,816,900
  5. Step 5: Solve for x
    x = 72,829,816,900/124,956
  6. Step 6: Final answer
    x = 582,843.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.