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Finding the Third Proportional to 85,649 and 184,423

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Solution

The third proportional to 85,649 and 184,423 is: 397,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,649 : 184,423 = 184,423 : x
  2. Step 2: Convert to fraction form
    85,649/184,423 = 184,423/x
  3. Step 3: Cross multiply
    85,649x = 184,423 × 184,423
  4. Step 4: Simplify right side
    85,649x = 34,011,842,929
  5. Step 5: Solve for x
    x = 34,011,842,929/85,649
  6. Step 6: Final answer
    x = 397,107.30

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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.