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Finding the Third Proportional to 77,933 and 113,983

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Solution

The third proportional to 77,933 and 113,983 is: 166,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,933 : 113,983 = 113,983 : x
  2. Step 2: Convert to fraction form
    77,933/113,983 = 113,983/x
  3. Step 3: Cross multiply
    77,933x = 113,983 × 113,983
  4. Step 4: Simplify right side
    77,933x = 12,992,124,289
  5. Step 5: Solve for x
    x = 12,992,124,289/77,933
  6. Step 6: Final answer
    x = 166,708.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.