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Finding the Third Proportional to 77,986 and 168,932

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Solution

The third proportional to 77,986 and 168,932 is: 365,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986 : 168,932 = 168,932 : x
  2. Step 2: Convert to fraction form
    77,986/168,932 = 168,932/x
  3. Step 3: Cross multiply
    77,986x = 168,932 × 168,932
  4. Step 4: Simplify right side
    77,986x = 28,538,020,624
  5. Step 5: Solve for x
    x = 28,538,020,624/77,986
  6. Step 6: Final answer
    x = 365,937.74

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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.