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Finding the Third Proportional to 72,679 and 109,910

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Solution

The third proportional to 72,679 and 109,910 is: 166,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,679 : 109,910 = 109,910 : x
  2. Step 2: Convert to fraction form
    72,679/109,910 = 109,910/x
  3. Step 3: Cross multiply
    72,679x = 109,910 × 109,910
  4. Step 4: Simplify right side
    72,679x = 12,080,208,100
  5. Step 5: Solve for x
    x = 12,080,208,100/72,679
  6. Step 6: Final answer
    x = 166,213.19

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