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Finding the Third Proportional to 61,168 and 133,992

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Solution

The third proportional to 61,168 and 133,992 is: 293,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,168 : 133,992 = 133,992 : x
  2. Step 2: Convert to fraction form
    61,168/133,992 = 133,992/x
  3. Step 3: Cross multiply
    61,168x = 133,992 × 133,992
  4. Step 4: Simplify right side
    61,168x = 17,953,856,064
  5. Step 5: Solve for x
    x = 17,953,856,064/61,168
  6. Step 6: Final answer
    x = 293,517.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.