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Finding the Third Proportional to 41,134.50 and 88,101

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Solution

The third proportional to 41,134.50 and 88,101 is: 188,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,134.50 : 88,101 = 88,101 : x
  2. Step 2: Convert to fraction form
    41,134.50/88,101 = 88,101/x
  3. Step 3: Cross multiply
    41,134.50x = 88,101 × 88,101
  4. Step 4: Simplify right side
    41,134.50x = 7,761,786,201
  5. Step 5: Solve for x
    x = 7,761,786,201/41,134.50
  6. Step 6: Final answer
    x = 188,692.85

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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.