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Finding the Third Proportional to 75,163.78 and 110,284.88

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Solution

The third proportional to 75,163.78 and 110,284.88 is: 161,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,163.78 : 110,284.88 = 110,284.88 : x
  2. Step 2: Convert to fraction form
    75,163.78/110,284.88 = 110,284.88/x
  3. Step 3: Cross multiply
    75,163.78x = 110,284.88 × 110,284.88
  4. Step 4: Simplify right side
    75,163.78x = 12,162,753,653.77
  5. Step 5: Solve for x
    x = 12,162,753,653.77/75,163.78
  6. Step 6: Final answer
    x = 161,816.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.