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Finding the Third Proportional to 25,113 and 54,069

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Solution

The third proportional to 25,113 and 54,069 is: 116,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113 : 54,069 = 54,069 : x
  2. Step 2: Convert to fraction form
    25,113/54,069 = 54,069/x
  3. Step 3: Cross multiply
    25,113x = 54,069 × 54,069
  4. Step 4: Simplify right side
    25,113x = 2,923,456,761
  5. Step 5: Solve for x
    x = 2,923,456,761/25,113
  6. Step 6: Final answer
    x = 116,412.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.