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Finding the Third Proportional to 107,262.75 and 160,687.13

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Solution

The third proportional to 107,262.75 and 160,687.13 is: 240,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,262.75 : 160,687.13 = 160,687.13 : x
  2. Step 2: Convert to fraction form
    107,262.75/160,687.13 = 160,687.13/x
  3. Step 3: Cross multiply
    107,262.75x = 160,687.13 × 160,687.13
  4. Step 4: Simplify right side
    107,262.75x = 25,820,352,140.77
  5. Step 5: Solve for x
    x = 25,820,352,140.77/107,262.75
  6. Step 6: Final answer
    x = 240,720.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.