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Finding the Third Proportional to 63,800 and 137,350

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Solution

The third proportional to 63,800 and 137,350 is: 295,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,800 : 137,350 = 137,350 : x
  2. Step 2: Convert to fraction form
    63,800/137,350 = 137,350/x
  3. Step 3: Cross multiply
    63,800x = 137,350 × 137,350
  4. Step 4: Simplify right side
    63,800x = 18,865,022,500
  5. Step 5: Solve for x
    x = 18,865,022,500/63,800
  6. Step 6: Final answer
    x = 295,690.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.