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Finding the Third Proportional to 125,614.13 and 276,134.06

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Solution

The third proportional to 125,614.13 and 276,134.06 is: 607,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,614.13 : 276,134.06 = 276,134.06 : x
  2. Step 2: Convert to fraction form
    125,614.13/276,134.06 = 276,134.06/x
  3. Step 3: Cross multiply
    125,614.13x = 276,134.06 × 276,134.06
  4. Step 4: Simplify right side
    125,614.13x = 76,250,020,472.75
  5. Step 5: Solve for x
    x = 76,250,020,472.75/125,614.13
  6. Step 6: Final answer
    x = 607,017.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.