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Finding the Third Proportional to 75,238 and 177,597

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Solution

The third proportional to 75,238 and 177,597 is: 419,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238 : 177,597 = 177,597 : x
  2. Step 2: Convert to fraction form
    75,238/177,597 = 177,597/x
  3. Step 3: Cross multiply
    75,238x = 177,597 × 177,597
  4. Step 4: Simplify right side
    75,238x = 31,540,694,409
  5. Step 5: Solve for x
    x = 31,540,694,409/75,238
  6. Step 6: Final answer
    x = 419,212.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.