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Finding the Third Proportional to 61,327 and 113,906

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Solution

The third proportional to 61,327 and 113,906 is: 211,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327 : 113,906 = 113,906 : x
  2. Step 2: Convert to fraction form
    61,327/113,906 = 113,906/x
  3. Step 3: Cross multiply
    61,327x = 113,906 × 113,906
  4. Step 4: Simplify right side
    61,327x = 12,974,576,836
  5. Step 5: Solve for x
    x = 12,974,576,836/61,327
  6. Step 6: Final answer
    x = 211,563.86

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.