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Finding the Third Proportional to 48,027 and 103,452

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Solution

The third proportional to 48,027 and 103,452 is: 222,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,027 : 103,452 = 103,452 : x
  2. Step 2: Convert to fraction form
    48,027/103,452 = 103,452/x
  3. Step 3: Cross multiply
    48,027x = 103,452 × 103,452
  4. Step 4: Simplify right side
    48,027x = 10,702,316,304
  5. Step 5: Solve for x
    x = 10,702,316,304/48,027
  6. Step 6: Final answer
    x = 222,839.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.