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Finding the Third Proportional to 124,878 and 194,976.75

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Solution

The third proportional to 124,878 and 194,976.75 is: 304,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,878 : 194,976.75 = 194,976.75 : x
  2. Step 2: Convert to fraction form
    124,878/194,976.75 = 194,976.75/x
  3. Step 3: Cross multiply
    124,878x = 194,976.75 × 194,976.75
  4. Step 4: Simplify right side
    124,878x = 38,015,933,040.56
  5. Step 5: Solve for x
    x = 38,015,933,040.56/124,878
  6. Step 6: Final answer
    x = 304,424.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.