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Finding the Third Proportional to 31,156 and 66,684

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Solution

The third proportional to 31,156 and 66,684 is: 142,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156 : 66,684 = 66,684 : x
  2. Step 2: Convert to fraction form
    31,156/66,684 = 66,684/x
  3. Step 3: Cross multiply
    31,156x = 66,684 × 66,684
  4. Step 4: Simplify right side
    31,156x = 4,446,755,856
  5. Step 5: Solve for x
    x = 4,446,755,856/31,156
  6. Step 6: Final answer
    x = 142,725.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.