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Finding the Third Proportional to 31,164 and 66,756

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Solution

The third proportional to 31,164 and 66,756 is: 142,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164 : 66,756 = 66,756 : x
  2. Step 2: Convert to fraction form
    31,164/66,756 = 66,756/x
  3. Step 3: Cross multiply
    31,164x = 66,756 × 66,756
  4. Step 4: Simplify right side
    31,164x = 4,456,363,536
  5. Step 5: Solve for x
    x = 4,456,363,536/31,164
  6. Step 6: Final answer
    x = 142,997.16

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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.