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Finding the Third Proportional to 45,508.50 and 69,180.75

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Solution

The third proportional to 45,508.50 and 69,180.75 is: 105,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,508.50 : 69,180.75 = 69,180.75 : x
  2. Step 2: Convert to fraction form
    45,508.50/69,180.75 = 69,180.75/x
  3. Step 3: Cross multiply
    45,508.50x = 69,180.75 × 69,180.75
  4. Step 4: Simplify right side
    45,508.50x = 4,785,976,170.56
  5. Step 5: Solve for x
    x = 4,785,976,170.56/45,508.50
  6. Step 6: Final answer
    x = 105,166.64

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