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Finding the Third Proportional to 76,961 and 169,051

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Solution

The third proportional to 76,961 and 169,051 is: 371,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,961 : 169,051 = 169,051 : x
  2. Step 2: Convert to fraction form
    76,961/169,051 = 169,051/x
  3. Step 3: Cross multiply
    76,961x = 169,051 × 169,051
  4. Step 4: Simplify right side
    76,961x = 28,578,240,601
  5. Step 5: Solve for x
    x = 28,578,240,601/76,961
  6. Step 6: Final answer
    x = 371,334.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.