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Finding the Third Proportional to 75,189 and 109,230

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Solution

The third proportional to 75,189 and 109,230 is: 158,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189 : 109,230 = 109,230 : x
  2. Step 2: Convert to fraction form
    75,189/109,230 = 109,230/x
  3. Step 3: Cross multiply
    75,189x = 109,230 × 109,230
  4. Step 4: Simplify right side
    75,189x = 11,931,192,900
  5. Step 5: Solve for x
    x = 11,931,192,900/75,189
  6. Step 6: Final answer
    x = 158,682.69

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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.