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Finding the Third Proportional to 61,794 and 133,208

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Solution

The third proportional to 61,794 and 133,208 is: 287,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,794 : 133,208 = 133,208 : x
  2. Step 2: Convert to fraction form
    61,794/133,208 = 133,208/x
  3. Step 3: Cross multiply
    61,794x = 133,208 × 133,208
  4. Step 4: Simplify right side
    61,794x = 17,744,371,264
  5. Step 5: Solve for x
    x = 17,744,371,264/61,794
  6. Step 6: Final answer
    x = 287,153.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.