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Finding the Third Proportional to 40,263 and 87,452

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Solution

The third proportional to 40,263 and 87,452 is: 189,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,263 : 87,452 = 87,452 : x
  2. Step 2: Convert to fraction form
    40,263/87,452 = 87,452/x
  3. Step 3: Cross multiply
    40,263x = 87,452 × 87,452
  4. Step 4: Simplify right side
    40,263x = 7,647,852,304
  5. Step 5: Solve for x
    x = 7,647,852,304/40,263
  6. Step 6: Final answer
    x = 189,947.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.