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Finding the Third Proportional to 69,691 and 110,751

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Solution

The third proportional to 69,691 and 110,751 is: 176,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,691 : 110,751 = 110,751 : x
  2. Step 2: Convert to fraction form
    69,691/110,751 = 110,751/x
  3. Step 3: Cross multiply
    69,691x = 110,751 × 110,751
  4. Step 4: Simplify right side
    69,691x = 12,265,784,001
  5. Step 5: Solve for x
    x = 12,265,784,001/69,691
  6. Step 6: Final answer
    x = 176,002.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.