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Finding the Third Proportional to 122,067 and 188,983.13

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Solution

The third proportional to 122,067 and 188,983.13 is: 292,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,067 : 188,983.13 = 188,983.13 : x
  2. Step 2: Convert to fraction form
    122,067/188,983.13 = 188,983.13/x
  3. Step 3: Cross multiply
    122,067x = 188,983.13 × 188,983.13
  4. Step 4: Simplify right side
    122,067x = 35,714,621,534.77
  5. Step 5: Solve for x
    x = 35,714,621,534.77/122,067
  6. Step 6: Final answer
    x = 292,582.12

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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.