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Finding the Third Proportional to 31,418 and 68,288

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Solution

The third proportional to 31,418 and 68,288 is: 148,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418 : 68,288 = 68,288 : x
  2. Step 2: Convert to fraction form
    31,418/68,288 = 68,288/x
  3. Step 3: Cross multiply
    31,418x = 68,288 × 68,288
  4. Step 4: Simplify right side
    31,418x = 4,663,250,944
  5. Step 5: Solve for x
    x = 4,663,250,944/31,418
  6. Step 6: Final answer
    x = 148,426.09

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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.