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Finding the Third Proportional to 63,100 and 133,992

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Solution

The third proportional to 63,100 and 133,992 is: 284,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,100 : 133,992 = 133,992 : x
  2. Step 2: Convert to fraction form
    63,100/133,992 = 133,992/x
  3. Step 3: Cross multiply
    63,100x = 133,992 × 133,992
  4. Step 4: Simplify right side
    63,100x = 17,953,856,064
  5. Step 5: Solve for x
    x = 17,953,856,064/63,100
  6. Step 6: Final answer
    x = 284,530.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.