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Finding the Third Proportional to 125,104.50 and 269,649

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Solution

The third proportional to 125,104.50 and 269,649 is: 581,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,104.50 : 269,649 = 269,649 : x
  2. Step 2: Convert to fraction form
    125,104.50/269,649 = 269,649/x
  3. Step 3: Cross multiply
    125,104.50x = 269,649 × 269,649
  4. Step 4: Simplify right side
    125,104.50x = 72,710,583,201
  5. Step 5: Solve for x
    x = 72,710,583,201/125,104.50
  6. Step 6: Final answer
    x = 581,198.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.