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Finding the Third Proportional to 49,905.75 and 76,924.13

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Solution

The third proportional to 49,905.75 and 76,924.13 is: 118,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,905.75 : 76,924.13 = 76,924.13 : x
  2. Step 2: Convert to fraction form
    49,905.75/76,924.13 = 76,924.13/x
  3. Step 3: Cross multiply
    49,905.75x = 76,924.13 × 76,924.13
  4. Step 4: Simplify right side
    49,905.75x = 5,917,321,007.02
  5. Step 5: Solve for x
    x = 5,917,321,007.02/49,905.75
  6. Step 6: Final answer
    x = 118,569.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.