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Finding the Third Proportional to 49,901.06 and 76,917.09

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Solution

The third proportional to 49,901.06 and 76,917.09 is: 118,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,901.06 : 76,917.09 = 76,917.09 : x
  2. Step 2: Convert to fraction form
    49,901.06/76,917.09 = 76,917.09/x
  3. Step 3: Cross multiply
    49,901.06x = 76,917.09 × 76,917.09
  4. Step 4: Simplify right side
    49,901.06x = 5,916,239,310.95
  5. Step 5: Solve for x
    x = 5,916,239,310.95/49,901.06
  6. Step 6: Final answer
    x = 118,559.39

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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.