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Finding the Third Proportional to 52,034.06 and 111,963.94

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Solution

The third proportional to 52,034.06 and 111,963.94 is: 240,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.06 : 111,963.94 = 111,963.94 : x
  2. Step 2: Convert to fraction form
    52,034.06/111,963.94 = 111,963.94/x
  3. Step 3: Cross multiply
    52,034.06x = 111,963.94 × 111,963.94
  4. Step 4: Simplify right side
    52,034.06x = 12,535,923,300.50
  5. Step 5: Solve for x
    x = 12,535,923,300.50/52,034.06
  6. Step 6: Final answer
    x = 240,917.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.