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Finding the Third Proportional to 137,067 and 205,600.50

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Solution

The third proportional to 137,067 and 205,600.50 is: 308,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,067 : 205,600.50 = 205,600.50 : x
  2. Step 2: Convert to fraction form
    137,067/205,600.50 = 205,600.50/x
  3. Step 3: Cross multiply
    137,067x = 205,600.50 × 205,600.50
  4. Step 4: Simplify right side
    137,067x = 42,271,565,600.25
  5. Step 5: Solve for x
    x = 42,271,565,600.25/137,067
  6. Step 6: Final answer
    x = 308,400.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.