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Finding the Third Proportional to 63,318 and 133,788

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Solution

The third proportional to 63,318 and 133,788 is: 282,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,318 : 133,788 = 133,788 : x
  2. Step 2: Convert to fraction form
    63,318/133,788 = 133,788/x
  3. Step 3: Cross multiply
    63,318x = 133,788 × 133,788
  4. Step 4: Simplify right side
    63,318x = 17,899,228,944
  5. Step 5: Solve for x
    x = 17,899,228,944/63,318
  6. Step 6: Final answer
    x = 282,687.84

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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.