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Finding the Third Proportional to 73,720 and 111,191

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Solution

The third proportional to 73,720 and 111,191 is: 167,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,720 : 111,191 = 111,191 : x
  2. Step 2: Convert to fraction form
    73,720/111,191 = 111,191/x
  3. Step 3: Cross multiply
    73,720x = 111,191 × 111,191
  4. Step 4: Simplify right side
    73,720x = 12,363,438,481
  5. Step 5: Solve for x
    x = 12,363,438,481/73,720
  6. Step 6: Final answer
    x = 167,708.06

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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.