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Finding the Third Proportional to 31,419 and 68,292

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Solution

The third proportional to 31,419 and 68,292 is: 148,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419 : 68,292 = 68,292 : x
  2. Step 2: Convert to fraction form
    31,419/68,292 = 68,292/x
  3. Step 3: Cross multiply
    31,419x = 68,292 × 68,292
  4. Step 4: Simplify right side
    31,419x = 4,663,797,264
  5. Step 5: Solve for x
    x = 4,663,797,264/31,419
  6. Step 6: Final answer
    x = 148,438.76

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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.