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Finding the Third Proportional to 63,926 and 133,084

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Solution

The third proportional to 63,926 and 133,084 is: 277,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,926 : 133,084 = 133,084 : x
  2. Step 2: Convert to fraction form
    63,926/133,084 = 133,084/x
  3. Step 3: Cross multiply
    63,926x = 133,084 × 133,084
  4. Step 4: Simplify right side
    63,926x = 17,711,351,056
  5. Step 5: Solve for x
    x = 17,711,351,056/63,926
  6. Step 6: Final answer
    x = 277,060.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.