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Finding the Third Proportional to 56,945.25 and 136,005.75

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Solution

The third proportional to 56,945.25 and 136,005.75 is: 324,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,945.25 : 136,005.75 = 136,005.75 : x
  2. Step 2: Convert to fraction form
    56,945.25/136,005.75 = 136,005.75/x
  3. Step 3: Cross multiply
    56,945.25x = 136,005.75 × 136,005.75
  4. Step 4: Simplify right side
    56,945.25x = 18,497,564,033.06
  5. Step 5: Solve for x
    x = 18,497,564,033.06/56,945.25
  6. Step 6: Final answer
    x = 324,830.68

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.