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Finding the Third Proportional to 49,270.75 and 108,079.38

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Solution

The third proportional to 49,270.75 and 108,079.38 is: 237,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270.75 : 108,079.38 = 108,079.38 : x
  2. Step 2: Convert to fraction form
    49,270.75/108,079.38 = 108,079.38/x
  3. Step 3: Cross multiply
    49,270.75x = 108,079.38 × 108,079.38
  4. Step 4: Simplify right side
    49,270.75x = 11,681,151,300.39
  5. Step 5: Solve for x
    x = 11,681,151,300.39/49,270.75
  6. Step 6: Final answer
    x = 237,080.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.