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Finding the Third Proportional to 25,109 and 55,725

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Solution

The third proportional to 25,109 and 55,725 is: 123,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109 : 55,725 = 55,725 : x
  2. Step 2: Convert to fraction form
    25,109/55,725 = 55,725/x
  3. Step 3: Cross multiply
    25,109x = 55,725 × 55,725
  4. Step 4: Simplify right side
    25,109x = 3,105,275,625
  5. Step 5: Solve for x
    x = 3,105,275,625/25,109
  6. Step 6: Final answer
    x = 123,671.82

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.