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Finding the Third Proportional to 41,098 and 60,182

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Solution

The third proportional to 41,098 and 60,182 is: 88,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,098 : 60,182 = 60,182 : x
  2. Step 2: Convert to fraction form
    41,098/60,182 = 60,182/x
  3. Step 3: Cross multiply
    41,098x = 60,182 × 60,182
  4. Step 4: Simplify right side
    41,098x = 3,621,873,124
  5. Step 5: Solve for x
    x = 3,621,873,124/41,098
  6. Step 6: Final answer
    x = 88,127.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.