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Finding the Third Proportional to 112,739.25 and 234,807

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Solution

The third proportional to 112,739.25 and 234,807 is: 489,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,739.25 : 234,807 = 234,807 : x
  2. Step 2: Convert to fraction form
    112,739.25/234,807 = 234,807/x
  3. Step 3: Cross multiply
    112,739.25x = 234,807 × 234,807
  4. Step 4: Simplify right side
    112,739.25x = 55,134,327,249
  5. Step 5: Solve for x
    x = 55,134,327,249/112,739.25
  6. Step 6: Final answer
    x = 489,042.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.