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Finding the Third Proportional to 42,759 and 98,976

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Solution

The third proportional to 42,759 and 98,976 is: 229,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,759 : 98,976 = 98,976 : x
  2. Step 2: Convert to fraction form
    42,759/98,976 = 98,976/x
  3. Step 3: Cross multiply
    42,759x = 98,976 × 98,976
  4. Step 4: Simplify right side
    42,759x = 9,796,248,576
  5. Step 5: Solve for x
    x = 9,796,248,576/42,759
  6. Step 6: Final answer
    x = 229,103.78

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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.