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Finding the Third Proportional to 75,429.75 and 111,839.06

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Solution

The third proportional to 75,429.75 and 111,839.06 is: 165,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429.75 : 111,839.06 = 111,839.06 : x
  2. Step 2: Convert to fraction form
    75,429.75/111,839.06 = 111,839.06/x
  3. Step 3: Cross multiply
    75,429.75x = 111,839.06 × 111,839.06
  4. Step 4: Simplify right side
    75,429.75x = 12,507,975,900.88
  5. Step 5: Solve for x
    x = 12,507,975,900.88/75,429.75
  6. Step 6: Final answer
    x = 165,822.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.