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Finding the Third Proportional to 61,794 and 132,903

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Solution

The third proportional to 61,794 and 132,903 is: 285,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,794 : 132,903 = 132,903 : x
  2. Step 2: Convert to fraction form
    61,794/132,903 = 132,903/x
  3. Step 3: Cross multiply
    61,794x = 132,903 × 132,903
  4. Step 4: Simplify right side
    61,794x = 17,663,207,409
  5. Step 5: Solve for x
    x = 17,663,207,409/61,794
  6. Step 6: Final answer
    x = 285,840.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.