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Finding the Third Proportional to 72,786 and 110,493

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Solution

The third proportional to 72,786 and 110,493 is: 167,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,786 : 110,493 = 110,493 : x
  2. Step 2: Convert to fraction form
    72,786/110,493 = 110,493/x
  3. Step 3: Cross multiply
    72,786x = 110,493 × 110,493
  4. Step 4: Simplify right side
    72,786x = 12,208,703,049
  5. Step 5: Solve for x
    x = 12,208,703,049/72,786
  6. Step 6: Final answer
    x = 167,734.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.