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Finding the Third Proportional to 105,905.25 and 161,340.75

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Solution

The third proportional to 105,905.25 and 161,340.75 is: 245,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,905.25 : 161,340.75 = 161,340.75 : x
  2. Step 2: Convert to fraction form
    105,905.25/161,340.75 = 161,340.75/x
  3. Step 3: Cross multiply
    105,905.25x = 161,340.75 × 161,340.75
  4. Step 4: Simplify right side
    105,905.25x = 26,030,837,610.56
  5. Step 5: Solve for x
    x = 26,030,837,610.56/105,905.25
  6. Step 6: Final answer
    x = 245,793.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.