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Finding the Third Proportional to 49,195.13 and 77,775.75

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Solution

The third proportional to 49,195.13 and 77,775.75 is: 122,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195.13 : 77,775.75 = 77,775.75 : x
  2. Step 2: Convert to fraction form
    49,195.13/77,775.75 = 77,775.75/x
  3. Step 3: Cross multiply
    49,195.13x = 77,775.75 × 77,775.75
  4. Step 4: Simplify right side
    49,195.13x = 6,049,067,288.06
  5. Step 5: Solve for x
    x = 6,049,067,288.06/49,195.13
  6. Step 6: Final answer
    x = 122,960.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.