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Finding the Third Proportional to 49,146.75 and 73,639.13

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Solution

The third proportional to 49,146.75 and 73,639.13 is: 110,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,146.75 : 73,639.13 = 73,639.13 : x
  2. Step 2: Convert to fraction form
    49,146.75/73,639.13 = 73,639.13/x
  3. Step 3: Cross multiply
    49,146.75x = 73,639.13 × 73,639.13
  4. Step 4: Simplify right side
    49,146.75x = 5,422,720,730.77
  5. Step 5: Solve for x
    x = 5,422,720,730.77/49,146.75
  6. Step 6: Final answer
    x = 110,337.32

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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.