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Finding the Third Proportional to 69,674 and 106,149

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Solution

The third proportional to 69,674 and 106,149 is: 161,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,674 : 106,149 = 106,149 : x
  2. Step 2: Convert to fraction form
    69,674/106,149 = 106,149/x
  3. Step 3: Cross multiply
    69,674x = 106,149 × 106,149
  4. Step 4: Simplify right side
    69,674x = 11,267,610,201
  5. Step 5: Solve for x
    x = 11,267,610,201/69,674
  6. Step 6: Final answer
    x = 161,719.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.