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Finding the Third Proportional to 69,633 and 106,081

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Solution

The third proportional to 69,633 and 106,081 is: 161,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,633 : 106,081 = 106,081 : x
  2. Step 2: Convert to fraction form
    69,633/106,081 = 106,081/x
  3. Step 3: Cross multiply
    69,633x = 106,081 × 106,081
  4. Step 4: Simplify right side
    69,633x = 11,253,178,561
  5. Step 5: Solve for x
    x = 11,253,178,561/69,633
  6. Step 6: Final answer
    x = 161,606.98

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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.