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Finding the Third Proportional to 54,759 and 78,250.50

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Solution

The third proportional to 54,759 and 78,250.50 is: 111,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,759 : 78,250.50 = 78,250.50 : x
  2. Step 2: Convert to fraction form
    54,759/78,250.50 = 78,250.50/x
  3. Step 3: Cross multiply
    54,759x = 78,250.50 × 78,250.50
  4. Step 4: Simplify right side
    54,759x = 6,123,140,750.25
  5. Step 5: Solve for x
    x = 6,123,140,750.25/54,759
  6. Step 6: Final answer
    x = 111,819.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.