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Finding the Third Proportional to 125,909.44 and 276,630.19

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Solution

The third proportional to 125,909.44 and 276,630.19 is: 607,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,909.44 : 276,630.19 = 276,630.19 : x
  2. Step 2: Convert to fraction form
    125,909.44/276,630.19 = 276,630.19/x
  3. Step 3: Cross multiply
    125,909.44x = 276,630.19 × 276,630.19
  4. Step 4: Simplify right side
    125,909.44x = 76,524,260,636.29
  5. Step 5: Solve for x
    x = 76,524,260,636.29/125,909.44
  6. Step 6: Final answer
    x = 607,772.24

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Why These Related Problems?

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