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Finding the Third Proportional to 61,691.75 and 128,227.75

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Solution

The third proportional to 61,691.75 and 128,227.75 is: 266,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,691.75 : 128,227.75 = 128,227.75 : x
  2. Step 2: Convert to fraction form
    61,691.75/128,227.75 = 128,227.75/x
  3. Step 3: Cross multiply
    61,691.75x = 128,227.75 × 128,227.75
  4. Step 4: Simplify right side
    61,691.75x = 16,442,355,870.06
  5. Step 5: Solve for x
    x = 16,442,355,870.06/61,691.75
  6. Step 6: Final answer
    x = 266,524.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.