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Finding the Third Proportional to 75,960 and 166,608

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Solution

The third proportional to 75,960 and 166,608 is: 365,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,960 : 166,608 = 166,608 : x
  2. Step 2: Convert to fraction form
    75,960/166,608 = 166,608/x
  3. Step 3: Cross multiply
    75,960x = 166,608 × 166,608
  4. Step 4: Simplify right side
    75,960x = 27,758,225,664
  5. Step 5: Solve for x
    x = 27,758,225,664/75,960
  6. Step 6: Final answer
    x = 365,432.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.