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Finding the Third Proportional to 61,104.38 and 128,049.75

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Solution

The third proportional to 61,104.38 and 128,049.75 is: 268,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,104.38 : 128,049.75 = 128,049.75 : x
  2. Step 2: Convert to fraction form
    61,104.38/128,049.75 = 128,049.75/x
  3. Step 3: Cross multiply
    61,104.38x = 128,049.75 × 128,049.75
  4. Step 4: Simplify right side
    61,104.38x = 16,396,738,475.06
  5. Step 5: Solve for x
    x = 16,396,738,475.06/61,104.38
  6. Step 6: Final answer
    x = 268,339.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.