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Finding the Third Proportional to 85,768 and 184,592

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Solution

The third proportional to 85,768 and 184,592 is: 397,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,768 : 184,592 = 184,592 : x
  2. Step 2: Convert to fraction form
    85,768/184,592 = 184,592/x
  3. Step 3: Cross multiply
    85,768x = 184,592 × 184,592
  4. Step 4: Simplify right side
    85,768x = 34,074,206,464
  5. Step 5: Solve for x
    x = 34,074,206,464/85,768
  6. Step 6: Final answer
    x = 397,283.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.