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Finding the Third Proportional to 39,777 and 85,023

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Solution

The third proportional to 39,777 and 85,023 is: 181,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,777 : 85,023 = 85,023 : x
  2. Step 2: Convert to fraction form
    39,777/85,023 = 85,023/x
  3. Step 3: Cross multiply
    39,777x = 85,023 × 85,023
  4. Step 4: Simplify right side
    39,777x = 7,228,910,529
  5. Step 5: Solve for x
    x = 7,228,910,529/39,777
  6. Step 6: Final answer
    x = 181,735.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.