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Finding the Third Proportional to 73,802 and 110,779

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Solution

The third proportional to 73,802 and 110,779 is: 166,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,802 : 110,779 = 110,779 : x
  2. Step 2: Convert to fraction form
    73,802/110,779 = 110,779/x
  3. Step 3: Cross multiply
    73,802x = 110,779 × 110,779
  4. Step 4: Simplify right side
    73,802x = 12,271,986,841
  5. Step 5: Solve for x
    x = 12,271,986,841/73,802
  6. Step 6: Final answer
    x = 166,282.58

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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.