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Finding the Third Proportional to 49,271.25 and 108,080.38

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Solution

The third proportional to 49,271.25 and 108,080.38 is: 237,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271.25 : 108,080.38 = 108,080.38 : x
  2. Step 2: Convert to fraction form
    49,271.25/108,080.38 = 108,080.38/x
  3. Step 3: Cross multiply
    49,271.25x = 108,080.38 × 108,080.38
  4. Step 4: Simplify right side
    49,271.25x = 11,681,367,460.14
  5. Step 5: Solve for x
    x = 11,681,367,460.14/49,271.25
  6. Step 6: Final answer
    x = 237,082.83

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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.