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Finding the Third Proportional to 31,218 and 68,452

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Solution

The third proportional to 31,218 and 68,452 is: 150,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218 : 68,452 = 68,452 : x
  2. Step 2: Convert to fraction form
    31,218/68,452 = 68,452/x
  3. Step 3: Cross multiply
    31,218x = 68,452 × 68,452
  4. Step 4: Simplify right side
    31,218x = 4,685,676,304
  5. Step 5: Solve for x
    x = 4,685,676,304/31,218
  6. Step 6: Final answer
    x = 150,095.34

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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.