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Finding the Third Proportional to 57,878.25 and 117,366.75

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Solution

The third proportional to 57,878.25 and 117,366.75 is: 237,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.25 : 117,366.75 = 117,366.75 : x
  2. Step 2: Convert to fraction form
    57,878.25/117,366.75 = 117,366.75/x
  3. Step 3: Cross multiply
    57,878.25x = 117,366.75 × 117,366.75
  4. Step 4: Simplify right side
    57,878.25x = 13,774,954,005.56
  5. Step 5: Solve for x
    x = 13,774,954,005.56/57,878.25
  6. Step 6: Final answer
    x = 237,998.80

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.