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Finding the Third Proportional to 54,361 and 76,986

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Solution

The third proportional to 54,361 and 76,986 is: 109,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,361 : 76,986 = 76,986 : x
  2. Step 2: Convert to fraction form
    54,361/76,986 = 76,986/x
  3. Step 3: Cross multiply
    54,361x = 76,986 × 76,986
  4. Step 4: Simplify right side
    54,361x = 5,926,844,196
  5. Step 5: Solve for x
    x = 5,926,844,196/54,361
  6. Step 6: Final answer
    x = 109,027.50

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.