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Finding the Third Proportional to 75,591 and 109,268.50

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Solution

The third proportional to 75,591 and 109,268.50 is: 157,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,591 : 109,268.50 = 109,268.50 : x
  2. Step 2: Convert to fraction form
    75,591/109,268.50 = 109,268.50/x
  3. Step 3: Cross multiply
    75,591x = 109,268.50 × 109,268.50
  4. Step 4: Simplify right side
    75,591x = 11,939,605,092.25
  5. Step 5: Solve for x
    x = 11,939,605,092.25/75,591
  6. Step 6: Final answer
    x = 157,950.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.