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Finding the Third Proportional to 51,052.78 and 123,480.07

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Solution

The third proportional to 51,052.78 and 123,480.07 is: 298,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052.78 : 123,480.07 = 123,480.07 : x
  2. Step 2: Convert to fraction form
    51,052.78/123,480.07 = 123,480.07/x
  3. Step 3: Cross multiply
    51,052.78x = 123,480.07 × 123,480.07
  4. Step 4: Simplify right side
    51,052.78x = 15,247,327,764.38
  5. Step 5: Solve for x
    x = 15,247,327,764.38/51,052.78
  6. Step 6: Final answer
    x = 298,658.12

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.