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Finding the Third Proportional to 109,168 and 173,593

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Solution

The third proportional to 109,168 and 173,593 is: 276,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,168 : 173,593 = 173,593 : x
  2. Step 2: Convert to fraction form
    109,168/173,593 = 173,593/x
  3. Step 3: Cross multiply
    109,168x = 173,593 × 173,593
  4. Step 4: Simplify right side
    109,168x = 30,134,529,649
  5. Step 5: Solve for x
    x = 30,134,529,649/109,168
  6. Step 6: Final answer
    x = 276,038.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.