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Finding the Third Proportional to 56,909.25 and 81,974.25

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Solution

The third proportional to 56,909.25 and 81,974.25 is: 118,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,909.25 : 81,974.25 = 81,974.25 : x
  2. Step 2: Convert to fraction form
    56,909.25/81,974.25 = 81,974.25/x
  3. Step 3: Cross multiply
    56,909.25x = 81,974.25 × 81,974.25
  4. Step 4: Simplify right side
    56,909.25x = 6,719,777,663.06
  5. Step 5: Solve for x
    x = 6,719,777,663.06/56,909.25
  6. Step 6: Final answer
    x = 118,078.83

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.