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Finding the Third Proportional to 63,860 and 137,197

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Solution

The third proportional to 63,860 and 137,197 is: 294,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,860 : 137,197 = 137,197 : x
  2. Step 2: Convert to fraction form
    63,860/137,197 = 137,197/x
  3. Step 3: Cross multiply
    63,860x = 137,197 × 137,197
  4. Step 4: Simplify right side
    63,860x = 18,823,016,809
  5. Step 5: Solve for x
    x = 18,823,016,809/63,860
  6. Step 6: Final answer
    x = 294,754.41

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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.