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Finding the Third Proportional to 20,098 and 45,138

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Solution

The third proportional to 20,098 and 45,138 is: 101,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 45,138 = 45,138 : x
  2. Step 2: Convert to fraction form
    20,098/45,138 = 45,138/x
  3. Step 3: Cross multiply
    20,098x = 45,138 × 45,138
  4. Step 4: Simplify right side
    20,098x = 2,037,439,044
  5. Step 5: Solve for x
    x = 2,037,439,044/20,098
  6. Step 6: Final answer
    x = 101,375.21

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.