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Finding the Third Proportional to 85,168 and 179,156

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Solution

The third proportional to 85,168 and 179,156 is: 376,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,168 : 179,156 = 179,156 : x
  2. Step 2: Convert to fraction form
    85,168/179,156 = 179,156/x
  3. Step 3: Cross multiply
    85,168x = 179,156 × 179,156
  4. Step 4: Simplify right side
    85,168x = 32,096,872,336
  5. Step 5: Solve for x
    x = 32,096,872,336/85,168
  6. Step 6: Final answer
    x = 376,865.40

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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.