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Finding the Third Proportional to 61,938 and 86,183

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Solution

The third proportional to 61,938 and 86,183 is: 119,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938 : 86,183 = 86,183 : x
  2. Step 2: Convert to fraction form
    61,938/86,183 = 86,183/x
  3. Step 3: Cross multiply
    61,938x = 86,183 × 86,183
  4. Step 4: Simplify right side
    61,938x = 7,427,509,489
  5. Step 5: Solve for x
    x = 7,427,509,489/61,938
  6. Step 6: Final answer
    x = 119,918.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.