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Finding the Third Proportional to 57,996 and 136,080

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Solution

The third proportional to 57,996 and 136,080 is: 319,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 136,080 = 136,080 : x
  2. Step 2: Convert to fraction form
    57,996/136,080 = 136,080/x
  3. Step 3: Cross multiply
    57,996x = 136,080 × 136,080
  4. Step 4: Simplify right side
    57,996x = 18,517,766,400
  5. Step 5: Solve for x
    x = 18,517,766,400/57,996
  6. Step 6: Final answer
    x = 319,293.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.