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Finding the Third Proportional to 107,552 and 219,766

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Solution

The third proportional to 107,552 and 219,766 is: 449,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,552 : 219,766 = 219,766 : x
  2. Step 2: Convert to fraction form
    107,552/219,766 = 219,766/x
  3. Step 3: Cross multiply
    107,552x = 219,766 × 219,766
  4. Step 4: Simplify right side
    107,552x = 48,297,094,756
  5. Step 5: Solve for x
    x = 48,297,094,756/107,552
  6. Step 6: Final answer
    x = 449,058.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.