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Finding the Third Proportional to 49,332.75 and 104,814

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Solution

The third proportional to 49,332.75 and 104,814 is: 222,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,332.75 : 104,814 = 104,814 : x
  2. Step 2: Convert to fraction form
    49,332.75/104,814 = 104,814/x
  3. Step 3: Cross multiply
    49,332.75x = 104,814 × 104,814
  4. Step 4: Simplify right side
    49,332.75x = 10,985,974,596
  5. Step 5: Solve for x
    x = 10,985,974,596/49,332.75
  6. Step 6: Final answer
    x = 222,691.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.