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Finding the Third Proportional to 63,086 and 133,282

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Solution

The third proportional to 63,086 and 133,282 is: 281,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,086 : 133,282 = 133,282 : x
  2. Step 2: Convert to fraction form
    63,086/133,282 = 133,282/x
  3. Step 3: Cross multiply
    63,086x = 133,282 × 133,282
  4. Step 4: Simplify right side
    63,086x = 17,764,091,524
  5. Step 5: Solve for x
    x = 17,764,091,524/63,086
  6. Step 6: Final answer
    x = 281,585.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.