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Finding the Third Proportional to 25,132 and 54,080

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Solution

The third proportional to 25,132 and 54,080 is: 116,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132 : 54,080 = 54,080 : x
  2. Step 2: Convert to fraction form
    25,132/54,080 = 54,080/x
  3. Step 3: Cross multiply
    25,132x = 54,080 × 54,080
  4. Step 4: Simplify right side
    25,132x = 2,924,646,400
  5. Step 5: Solve for x
    x = 2,924,646,400/25,132
  6. Step 6: Final answer
    x = 116,371.41

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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.