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Finding the Third Proportional to 109,932 and 166,452

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Solution

The third proportional to 109,932 and 166,452 is: 252,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,932 : 166,452 = 166,452 : x
  2. Step 2: Convert to fraction form
    109,932/166,452 = 166,452/x
  3. Step 3: Cross multiply
    109,932x = 166,452 × 166,452
  4. Step 4: Simplify right side
    109,932x = 27,706,268,304
  5. Step 5: Solve for x
    x = 27,706,268,304/109,932
  6. Step 6: Final answer
    x = 252,030.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.