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Finding the Third Proportional to 125,836.50 and 276,540

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Solution

The third proportional to 125,836.50 and 276,540 is: 607,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,836.50 : 276,540 = 276,540 : x
  2. Step 2: Convert to fraction form
    125,836.50/276,540 = 276,540/x
  3. Step 3: Cross multiply
    125,836.50x = 276,540 × 276,540
  4. Step 4: Simplify right side
    125,836.50x = 76,474,371,600
  5. Step 5: Solve for x
    x = 76,474,371,600/125,836.50
  6. Step 6: Final answer
    x = 607,728.06

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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.