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Finding the Third Proportional to 60,984 and 111,843

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Solution

The third proportional to 60,984 and 111,843 is: 205,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,984 : 111,843 = 111,843 : x
  2. Step 2: Convert to fraction form
    60,984/111,843 = 111,843/x
  3. Step 3: Cross multiply
    60,984x = 111,843 × 111,843
  4. Step 4: Simplify right side
    60,984x = 12,508,856,649
  5. Step 5: Solve for x
    x = 12,508,856,649/60,984
  6. Step 6: Final answer
    x = 205,117.02

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.