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Finding the Third Proportional to 117,578 and 180,165

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Solution

The third proportional to 117,578 and 180,165 is: 276,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,578 : 180,165 = 180,165 : x
  2. Step 2: Convert to fraction form
    117,578/180,165 = 180,165/x
  3. Step 3: Cross multiply
    117,578x = 180,165 × 180,165
  4. Step 4: Simplify right side
    117,578x = 32,459,427,225
  5. Step 5: Solve for x
    x = 32,459,427,225/117,578
  6. Step 6: Final answer
    x = 276,067.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.