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Finding the Third Proportional to 125,856 and 187,080

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Solution

The third proportional to 125,856 and 187,080 is: 278,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,856 : 187,080 = 187,080 : x
  2. Step 2: Convert to fraction form
    125,856/187,080 = 187,080/x
  3. Step 3: Cross multiply
    125,856x = 187,080 × 187,080
  4. Step 4: Simplify right side
    125,856x = 34,998,926,400
  5. Step 5: Solve for x
    x = 34,998,926,400/125,856
  6. Step 6: Final answer
    x = 278,087.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.