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Finding the Third Proportional to 109,817 and 166,110

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Solution

The third proportional to 109,817 and 166,110 is: 251,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,817 : 166,110 = 166,110 : x
  2. Step 2: Convert to fraction form
    109,817/166,110 = 166,110/x
  3. Step 3: Cross multiply
    109,817x = 166,110 × 166,110
  4. Step 4: Simplify right side
    109,817x = 27,592,532,100
  5. Step 5: Solve for x
    x = 27,592,532,100/109,817
  6. Step 6: Final answer
    x = 251,259.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.