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Finding the Third Proportional to 57,132 and 117,048

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Solution

The third proportional to 57,132 and 117,048 is: 239,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132 : 117,048 = 117,048 : x
  2. Step 2: Convert to fraction form
    57,132/117,048 = 117,048/x
  3. Step 3: Cross multiply
    57,132x = 117,048 × 117,048
  4. Step 4: Simplify right side
    57,132x = 13,700,234,304
  5. Step 5: Solve for x
    x = 13,700,234,304/57,132
  6. Step 6: Final answer
    x = 239,799.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.