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Finding the Third Proportional to 42,758.25 and 98,974.50

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Solution

The third proportional to 42,758.25 and 98,974.50 is: 229,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,758.25 : 98,974.50 = 98,974.50 : x
  2. Step 2: Convert to fraction form
    42,758.25/98,974.50 = 98,974.50/x
  3. Step 3: Cross multiply
    42,758.25x = 98,974.50 × 98,974.50
  4. Step 4: Simplify right side
    42,758.25x = 9,795,951,650.25
  5. Step 5: Solve for x
    x = 9,795,951,650.25/42,758.25
  6. Step 6: Final answer
    x = 229,100.86

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.