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Finding the Third Proportional to 75,144 and 117,204

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Solution

The third proportional to 75,144 and 117,204 is: 182,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144 : 117,204 = 117,204 : x
  2. Step 2: Convert to fraction form
    75,144/117,204 = 117,204/x
  3. Step 3: Cross multiply
    75,144x = 117,204 × 117,204
  4. Step 4: Simplify right side
    75,144x = 13,736,777,616
  5. Step 5: Solve for x
    x = 13,736,777,616/75,144
  6. Step 6: Final answer
    x = 182,806.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.