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Finding the Third Proportional to 31,454 and 68,742

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Solution

The third proportional to 31,454 and 68,742 is: 150,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454 : 68,742 = 68,742 : x
  2. Step 2: Convert to fraction form
    31,454/68,742 = 68,742/x
  3. Step 3: Cross multiply
    31,454x = 68,742 × 68,742
  4. Step 4: Simplify right side
    31,454x = 4,725,462,564
  5. Step 5: Solve for x
    x = 4,725,462,564/31,454
  6. Step 6: Final answer
    x = 150,234.07

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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.