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Finding the Third Proportional to 69,644 and 106,098

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Solution

The third proportional to 69,644 and 106,098 is: 161,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,644 : 106,098 = 106,098 : x
  2. Step 2: Convert to fraction form
    69,644/106,098 = 106,098/x
  3. Step 3: Cross multiply
    69,644x = 106,098 × 106,098
  4. Step 4: Simplify right side
    69,644x = 11,256,785,604
  5. Step 5: Solve for x
    x = 11,256,785,604/69,644
  6. Step 6: Final answer
    x = 161,633.24

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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.