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Finding the Third Proportional to 85,692 and 184,539

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Solution

The third proportional to 85,692 and 184,539 is: 397,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,692 : 184,539 = 184,539 : x
  2. Step 2: Convert to fraction form
    85,692/184,539 = 184,539/x
  3. Step 3: Cross multiply
    85,692x = 184,539 × 184,539
  4. Step 4: Simplify right side
    85,692x = 34,054,642,521
  5. Step 5: Solve for x
    x = 34,054,642,521/85,692
  6. Step 6: Final answer
    x = 397,407.49

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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.