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Finding the Third Proportional to 100,917.75 and 137,115.75

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Solution

The third proportional to 100,917.75 and 137,115.75 is: 186,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,917.75 : 137,115.75 = 137,115.75 : x
  2. Step 2: Convert to fraction form
    100,917.75/137,115.75 = 137,115.75/x
  3. Step 3: Cross multiply
    100,917.75x = 137,115.75 × 137,115.75
  4. Step 4: Simplify right side
    100,917.75x = 18,800,728,898.06
  5. Step 5: Solve for x
    x = 18,800,728,898.06/100,917.75
  6. Step 6: Final answer
    x = 186,297.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.