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Finding the Third Proportional to 49,773 and 77,067

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Solution

The third proportional to 49,773 and 77,067 is: 119,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,773 : 77,067 = 77,067 : x
  2. Step 2: Convert to fraction form
    49,773/77,067 = 77,067/x
  3. Step 3: Cross multiply
    49,773x = 77,067 × 77,067
  4. Step 4: Simplify right side
    49,773x = 5,939,322,489
  5. Step 5: Solve for x
    x = 5,939,322,489/49,773
  6. Step 6: Final answer
    x = 119,328.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.