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Finding the Third Proportional to 73,797 and 110,709

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Solution

The third proportional to 73,797 and 110,709 is: 166,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,797 : 110,709 = 110,709 : x
  2. Step 2: Convert to fraction form
    73,797/110,709 = 110,709/x
  3. Step 3: Cross multiply
    73,797x = 110,709 × 110,709
  4. Step 4: Simplify right side
    73,797x = 12,256,482,681
  5. Step 5: Solve for x
    x = 12,256,482,681/73,797
  6. Step 6: Final answer
    x = 166,083.75

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Why These Related Problems?

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