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Finding the Third Proportional to 43,058.25 and 91,329.75

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Solution

The third proportional to 43,058.25 and 91,329.75 is: 193,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,058.25 : 91,329.75 = 91,329.75 : x
  2. Step 2: Convert to fraction form
    43,058.25/91,329.75 = 91,329.75/x
  3. Step 3: Cross multiply
    43,058.25x = 91,329.75 × 91,329.75
  4. Step 4: Simplify right side
    43,058.25x = 8,341,123,235.06
  5. Step 5: Solve for x
    x = 8,341,123,235.06/43,058.25
  6. Step 6: Final answer
    x = 193,717.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.