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Finding the Third Proportional to 110,230 and 164,915

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Solution

The third proportional to 110,230 and 164,915 is: 246,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,230 : 164,915 = 164,915 : x
  2. Step 2: Convert to fraction form
    110,230/164,915 = 164,915/x
  3. Step 3: Cross multiply
    110,230x = 164,915 × 164,915
  4. Step 4: Simplify right side
    110,230x = 27,196,957,225
  5. Step 5: Solve for x
    x = 27,196,957,225/110,230
  6. Step 6: Final answer
    x = 246,729.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.