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Finding the Third Proportional to 63,398.25 and 137,364.75

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Solution

The third proportional to 63,398.25 and 137,364.75 is: 297,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,398.25 : 137,364.75 = 137,364.75 : x
  2. Step 2: Convert to fraction form
    63,398.25/137,364.75 = 137,364.75/x
  3. Step 3: Cross multiply
    63,398.25x = 137,364.75 × 137,364.75
  4. Step 4: Simplify right side
    63,398.25x = 18,869,074,542.56
  5. Step 5: Solve for x
    x = 18,869,074,542.56/63,398.25
  6. Step 6: Final answer
    x = 297,627.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.