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Finding the Third Proportional to 39,941 and 85,222

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Solution

The third proportional to 39,941 and 85,222 is: 181,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,941 : 85,222 = 85,222 : x
  2. Step 2: Convert to fraction form
    39,941/85,222 = 85,222/x
  3. Step 3: Cross multiply
    39,941x = 85,222 × 85,222
  4. Step 4: Simplify right side
    39,941x = 7,262,789,284
  5. Step 5: Solve for x
    x = 7,262,789,284/39,941
  6. Step 6: Final answer
    x = 181,837.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.