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Finding the Third Proportional to 25,124 and 55,180

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Solution

The third proportional to 25,124 and 55,180 is: 121,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,124 : 55,180 = 55,180 : x
  2. Step 2: Convert to fraction form
    25,124/55,180 = 55,180/x
  3. Step 3: Cross multiply
    25,124x = 55,180 × 55,180
  4. Step 4: Simplify right side
    25,124x = 3,044,832,400
  5. Step 5: Solve for x
    x = 3,044,832,400/25,124
  6. Step 6: Final answer
    x = 121,192.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.