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Finding the Third Proportional to 73,706 and 110,775

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Solution

The third proportional to 73,706 and 110,775 is: 166,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706 : 110,775 = 110,775 : x
  2. Step 2: Convert to fraction form
    73,706/110,775 = 110,775/x
  3. Step 3: Cross multiply
    73,706x = 110,775 × 110,775
  4. Step 4: Simplify right side
    73,706x = 12,271,100,625
  5. Step 5: Solve for x
    x = 12,271,100,625/73,706
  6. Step 6: Final answer
    x = 166,487.13

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