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Finding the Third Proportional to 68,189.50 and 91,725.50

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Solution

The third proportional to 68,189.50 and 91,725.50 is: 123,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,189.50 : 91,725.50 = 91,725.50 : x
  2. Step 2: Convert to fraction form
    68,189.50/91,725.50 = 91,725.50/x
  3. Step 3: Cross multiply
    68,189.50x = 91,725.50 × 91,725.50
  4. Step 4: Simplify right side
    68,189.50x = 8,413,567,350.25
  5. Step 5: Solve for x
    x = 8,413,567,350.25/68,189.50
  6. Step 6: Final answer
    x = 123,385.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.