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Finding the Third Proportional to 73,718 and 111,108

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Solution

The third proportional to 73,718 and 111,108 is: 167,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,718 : 111,108 = 111,108 : x
  2. Step 2: Convert to fraction form
    73,718/111,108 = 111,108/x
  3. Step 3: Cross multiply
    73,718x = 111,108 × 111,108
  4. Step 4: Simplify right side
    73,718x = 12,344,987,664
  5. Step 5: Solve for x
    x = 12,344,987,664/73,718
  6. Step 6: Final answer
    x = 167,462.32

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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.