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Finding the Third Proportional to 45,264 and 99,552

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Solution

The third proportional to 45,264 and 99,552 is: 218,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,264 : 99,552 = 99,552 : x
  2. Step 2: Convert to fraction form
    45,264/99,552 = 99,552/x
  3. Step 3: Cross multiply
    45,264x = 99,552 × 99,552
  4. Step 4: Simplify right side
    45,264x = 9,910,600,704
  5. Step 5: Solve for x
    x = 9,910,600,704/45,264
  6. Step 6: Final answer
    x = 218,951.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.