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Finding the Third Proportional to 63,864 and 137,206

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Solution

The third proportional to 63,864 and 137,206 is: 294,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,864 : 137,206 = 137,206 : x
  2. Step 2: Convert to fraction form
    63,864/137,206 = 137,206/x
  3. Step 3: Cross multiply
    63,864x = 137,206 × 137,206
  4. Step 4: Simplify right side
    63,864x = 18,825,486,436
  5. Step 5: Solve for x
    x = 18,825,486,436/63,864
  6. Step 6: Final answer
    x = 294,774.62

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