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Finding the Third Proportional to 71,515.50 and 107,241

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Solution

The third proportional to 71,515.50 and 107,241 is: 160,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,515.50 : 107,241 = 107,241 : x
  2. Step 2: Convert to fraction form
    71,515.50/107,241 = 107,241/x
  3. Step 3: Cross multiply
    71,515.50x = 107,241 × 107,241
  4. Step 4: Simplify right side
    71,515.50x = 11,500,632,081
  5. Step 5: Solve for x
    x = 11,500,632,081/71,515.50
  6. Step 6: Final answer
    x = 160,813.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.