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Finding the Third Proportional to 125,524.69 and 261,202.22

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Solution

The third proportional to 125,524.69 and 261,202.22 is: 543,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,524.69 : 261,202.22 = 261,202.22 : x
  2. Step 2: Convert to fraction form
    125,524.69/261,202.22 = 261,202.22/x
  3. Step 3: Cross multiply
    125,524.69x = 261,202.22 × 261,202.22
  4. Step 4: Simplify right side
    125,524.69x = 68,226,599,079.92
  5. Step 5: Solve for x
    x = 68,226,599,079.92/125,524.69
  6. Step 6: Final answer
    x = 543,531.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.