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Finding the Third Proportional to 75,288.38 and 110,850.75

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Solution

The third proportional to 75,288.38 and 110,850.75 is: 163,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,288.38 : 110,850.75 = 110,850.75 : x
  2. Step 2: Convert to fraction form
    75,288.38/110,850.75 = 110,850.75/x
  3. Step 3: Cross multiply
    75,288.38x = 110,850.75 × 110,850.75
  4. Step 4: Simplify right side
    75,288.38x = 12,287,888,775.56
  5. Step 5: Solve for x
    x = 12,287,888,775.56/75,288.38
  6. Step 6: Final answer
    x = 163,210.97

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Why These Related Problems?

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