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Finding the Third Proportional to 73,829 and 110,720

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Solution

The third proportional to 73,829 and 110,720 is: 166,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,829 : 110,720 = 110,720 : x
  2. Step 2: Convert to fraction form
    73,829/110,720 = 110,720/x
  3. Step 3: Cross multiply
    73,829x = 110,720 × 110,720
  4. Step 4: Simplify right side
    73,829x = 12,258,918,400
  5. Step 5: Solve for x
    x = 12,258,918,400/73,829
  6. Step 6: Final answer
    x = 166,044.76

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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.