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Finding the Third Proportional to 31,198.50 and 66,774.38

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Solution

The third proportional to 31,198.50 and 66,774.38 is: 142,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.50 : 66,774.38 = 66,774.38 : x
  2. Step 2: Convert to fraction form
    31,198.50/66,774.38 = 66,774.38/x
  3. Step 3: Cross multiply
    31,198.50x = 66,774.38 × 66,774.38
  4. Step 4: Simplify right side
    31,198.50x = 4,458,817,156.64
  5. Step 5: Solve for x
    x = 4,458,817,156.64/31,198.50
  6. Step 6: Final answer
    x = 142,917.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.