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Finding the Third Proportional to 69,227.75 and 103,726.38

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Solution

The third proportional to 69,227.75 and 103,726.38 is: 155,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,227.75 : 103,726.38 = 103,726.38 : x
  2. Step 2: Convert to fraction form
    69,227.75/103,726.38 = 103,726.38/x
  3. Step 3: Cross multiply
    69,227.75x = 103,726.38 × 103,726.38
  4. Step 4: Simplify right side
    69,227.75x = 10,759,160,870.64
  5. Step 5: Solve for x
    x = 10,759,160,870.64/69,227.75
  6. Step 6: Final answer
    x = 155,416.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.