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Finding the Third Proportional to 120,565.69 and 261,887.63

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Solution

The third proportional to 120,565.69 and 261,887.63 is: 568,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,565.69 : 261,887.63 = 261,887.63 : x
  2. Step 2: Convert to fraction form
    120,565.69/261,887.63 = 261,887.63/x
  3. Step 3: Cross multiply
    120,565.69x = 261,887.63 × 261,887.63
  4. Step 4: Simplify right side
    120,565.69x = 68,585,128,128.14
  5. Step 5: Solve for x
    x = 68,585,128,128.14/120,565.69
  6. Step 6: Final answer
    x = 568,861.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.