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Finding the Third Proportional to 68,874 and 150,952

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Solution

The third proportional to 68,874 and 150,952 is: 330,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,874 : 150,952 = 150,952 : x
  2. Step 2: Convert to fraction form
    68,874/150,952 = 150,952/x
  3. Step 3: Cross multiply
    68,874x = 150,952 × 150,952
  4. Step 4: Simplify right side
    68,874x = 22,786,506,304
  5. Step 5: Solve for x
    x = 22,786,506,304/68,874
  6. Step 6: Final answer
    x = 330,843.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.