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Finding the Third Proportional to 49,984.50 and 75,120.75

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Solution

The third proportional to 49,984.50 and 75,120.75 is: 112,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984.50 : 75,120.75 = 75,120.75 : x
  2. Step 2: Convert to fraction form
    49,984.50/75,120.75 = 75,120.75/x
  3. Step 3: Cross multiply
    49,984.50x = 75,120.75 × 75,120.75
  4. Step 4: Simplify right side
    49,984.50x = 5,643,127,080.56
  5. Step 5: Solve for x
    x = 5,643,127,080.56/49,984.50
  6. Step 6: Final answer
    x = 112,897.54

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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.