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Finding the Third Proportional to 61,939 and 86,184

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Solution

The third proportional to 61,939 and 86,184 is: 119,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,939 : 86,184 = 86,184 : x
  2. Step 2: Convert to fraction form
    61,939/86,184 = 86,184/x
  3. Step 3: Cross multiply
    61,939x = 86,184 × 86,184
  4. Step 4: Simplify right side
    61,939x = 7,427,681,856
  5. Step 5: Solve for x
    x = 7,427,681,856/61,939
  6. Step 6: Final answer
    x = 119,919.31

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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.