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Finding the Third Proportional to 31,165 and 66,758

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Solution

The third proportional to 31,165 and 66,758 is: 143,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165 : 66,758 = 66,758 : x
  2. Step 2: Convert to fraction form
    31,165/66,758 = 66,758/x
  3. Step 3: Cross multiply
    31,165x = 66,758 × 66,758
  4. Step 4: Simplify right side
    31,165x = 4,456,630,564
  5. Step 5: Solve for x
    x = 4,456,630,564/31,165
  6. Step 6: Final answer
    x = 143,001.14

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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.