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Finding the Third Proportional to 69,049.13 and 106,626.38

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Solution

The third proportional to 69,049.13 and 106,626.38 is: 164,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,049.13 : 106,626.38 = 106,626.38 : x
  2. Step 2: Convert to fraction form
    69,049.13/106,626.38 = 106,626.38/x
  3. Step 3: Cross multiply
    69,049.13x = 106,626.38 × 106,626.38
  4. Step 4: Simplify right side
    69,049.13x = 11,369,183,845.64
  5. Step 5: Solve for x
    x = 11,369,183,845.64/69,049.13
  6. Step 6: Final answer
    x = 164,653.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.