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Finding the Third Proportional to 76,412 and 165,961

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Solution

The third proportional to 76,412 and 165,961 is: 360,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412 : 165,961 = 165,961 : x
  2. Step 2: Convert to fraction form
    76,412/165,961 = 165,961/x
  3. Step 3: Cross multiply
    76,412x = 165,961 × 165,961
  4. Step 4: Simplify right side
    76,412x = 27,543,053,521
  5. Step 5: Solve for x
    x = 27,543,053,521/76,412
  6. Step 6: Final answer
    x = 360,454.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.