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Finding the Third Proportional to 41,239.50 and 88,311

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Solution

The third proportional to 41,239.50 and 88,311 is: 189,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,239.50 : 88,311 = 88,311 : x
  2. Step 2: Convert to fraction form
    41,239.50/88,311 = 88,311/x
  3. Step 3: Cross multiply
    41,239.50x = 88,311 × 88,311
  4. Step 4: Simplify right side
    41,239.50x = 7,798,832,721
  5. Step 5: Solve for x
    x = 7,798,832,721/41,239.50
  6. Step 6: Final answer
    x = 189,110.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.