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Finding the Third Proportional to 48,142.50 and 73,838.25

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Solution

The third proportional to 48,142.50 and 73,838.25 is: 113,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,142.50 : 73,838.25 = 73,838.25 : x
  2. Step 2: Convert to fraction form
    48,142.50/73,838.25 = 73,838.25/x
  3. Step 3: Cross multiply
    48,142.50x = 73,838.25 × 73,838.25
  4. Step 4: Simplify right side
    48,142.50x = 5,452,087,163.06
  5. Step 5: Solve for x
    x = 5,452,087,163.06/48,142.50
  6. Step 6: Final answer
    x = 113,248.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.