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Finding the Third Proportional to 85,215 and 179,244

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Solution

The third proportional to 85,215 and 179,244 is: 377,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,215 : 179,244 = 179,244 : x
  2. Step 2: Convert to fraction form
    85,215/179,244 = 179,244/x
  3. Step 3: Cross multiply
    85,215x = 179,244 × 179,244
  4. Step 4: Simplify right side
    85,215x = 32,128,411,536
  5. Step 5: Solve for x
    x = 32,128,411,536/85,215
  6. Step 6: Final answer
    x = 377,027.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.