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Finding the Third Proportional to 35,986 and 79,127

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Solution

The third proportional to 35,986 and 79,127 is: 173,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986 : 79,127 = 79,127 : x
  2. Step 2: Convert to fraction form
    35,986/79,127 = 79,127/x
  3. Step 3: Cross multiply
    35,986x = 79,127 × 79,127
  4. Step 4: Simplify right side
    35,986x = 6,261,082,129
  5. Step 5: Solve for x
    x = 6,261,082,129/35,986
  6. Step 6: Final answer
    x = 173,986.61

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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.