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Finding the Third Proportional to 79,942 and 170,961

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Solution

The third proportional to 79,942 and 170,961 is: 365,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,942 : 170,961 = 170,961 : x
  2. Step 2: Convert to fraction form
    79,942/170,961 = 170,961/x
  3. Step 3: Cross multiply
    79,942x = 170,961 × 170,961
  4. Step 4: Simplify right side
    79,942x = 29,227,663,521
  5. Step 5: Solve for x
    x = 29,227,663,521/79,942
  6. Step 6: Final answer
    x = 365,610.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.