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Finding the Third Proportional to 73,712 and 111,099

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Solution

The third proportional to 73,712 and 111,099 is: 167,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,712 : 111,099 = 111,099 : x
  2. Step 2: Convert to fraction form
    73,712/111,099 = 111,099/x
  3. Step 3: Cross multiply
    73,712x = 111,099 × 111,099
  4. Step 4: Simplify right side
    73,712x = 12,342,987,801
  5. Step 5: Solve for x
    x = 12,342,987,801/73,712
  6. Step 6: Final answer
    x = 167,448.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.