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Finding the Third Proportional to 49,117.50 and 73,963.13

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Solution

The third proportional to 49,117.50 and 73,963.13 is: 111,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,117.50 : 73,963.13 = 73,963.13 : x
  2. Step 2: Convert to fraction form
    49,117.50/73,963.13 = 73,963.13/x
  3. Step 3: Cross multiply
    49,117.50x = 73,963.13 × 73,963.13
  4. Step 4: Simplify right side
    49,117.50x = 5,470,543,859.77
  5. Step 5: Solve for x
    x = 5,470,543,859.77/49,117.50
  6. Step 6: Final answer
    x = 111,376.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.