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Finding the Third Proportional to 75,952 and 166,201

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Solution

The third proportional to 75,952 and 166,201 is: 363,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952 : 166,201 = 166,201 : x
  2. Step 2: Convert to fraction form
    75,952/166,201 = 166,201/x
  3. Step 3: Cross multiply
    75,952x = 166,201 × 166,201
  4. Step 4: Simplify right side
    75,952x = 27,622,772,401
  5. Step 5: Solve for x
    x = 27,622,772,401/75,952
  6. Step 6: Final answer
    x = 363,687.23

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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.