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Finding the Third Proportional to 54,080 and 75,900

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Solution

The third proportional to 54,080 and 75,900 is: 106,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,080 : 75,900 = 75,900 : x
  2. Step 2: Convert to fraction form
    54,080/75,900 = 75,900/x
  3. Step 3: Cross multiply
    54,080x = 75,900 × 75,900
  4. Step 4: Simplify right side
    54,080x = 5,760,810,000
  5. Step 5: Solve for x
    x = 5,760,810,000/54,080
  6. Step 6: Final answer
    x = 106,523.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.