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Finding the Third Proportional to 56,949 and 133,057.50

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Solution

The third proportional to 56,949 and 133,057.50 is: 310,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,949 : 133,057.50 = 133,057.50 : x
  2. Step 2: Convert to fraction form
    56,949/133,057.50 = 133,057.50/x
  3. Step 3: Cross multiply
    56,949x = 133,057.50 × 133,057.50
  4. Step 4: Simplify right side
    56,949x = 17,704,298,306.25
  5. Step 5: Solve for x
    x = 17,704,298,306.25/56,949
  6. Step 6: Final answer
    x = 310,879.88

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.