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Finding the Third Proportional to 75,952 and 166,202

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Solution

The third proportional to 75,952 and 166,202 is: 363,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952 : 166,202 = 166,202 : x
  2. Step 2: Convert to fraction form
    75,952/166,202 = 166,202/x
  3. Step 3: Cross multiply
    75,952x = 166,202 × 166,202
  4. Step 4: Simplify right side
    75,952x = 27,623,104,804
  5. Step 5: Solve for x
    x = 27,623,104,804/75,952
  6. Step 6: Final answer
    x = 363,691.61

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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.