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Finding the Third Proportional to 75,760 and 166,292

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Solution

The third proportional to 75,760 and 166,292 is: 365,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,760 : 166,292 = 166,292 : x
  2. Step 2: Convert to fraction form
    75,760/166,292 = 166,292/x
  3. Step 3: Cross multiply
    75,760x = 166,292 × 166,292
  4. Step 4: Simplify right side
    75,760x = 27,653,029,264
  5. Step 5: Solve for x
    x = 27,653,029,264/75,760
  6. Step 6: Final answer
    x = 365,008.31

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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.