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Finding the Third Proportional to 63,236 and 133,438

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Solution

The third proportional to 63,236 and 133,438 is: 281,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,236 : 133,438 = 133,438 : x
  2. Step 2: Convert to fraction form
    63,236/133,438 = 133,438/x
  3. Step 3: Cross multiply
    63,236x = 133,438 × 133,438
  4. Step 4: Simplify right side
    63,236x = 17,805,699,844
  5. Step 5: Solve for x
    x = 17,805,699,844/63,236
  6. Step 6: Final answer
    x = 281,575.37

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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.