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Finding the Third Proportional to 74,282 and 111,422

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Solution

The third proportional to 74,282 and 111,422 is: 167,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,282 : 111,422 = 111,422 : x
  2. Step 2: Convert to fraction form
    74,282/111,422 = 111,422/x
  3. Step 3: Cross multiply
    74,282x = 111,422 × 111,422
  4. Step 4: Simplify right side
    74,282x = 12,414,862,084
  5. Step 5: Solve for x
    x = 12,414,862,084/74,282
  6. Step 6: Final answer
    x = 167,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.