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Finding the Third Proportional to 79,837 and 122,752

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Solution

The third proportional to 79,837 and 122,752 is: 188,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,837 : 122,752 = 122,752 : x
  2. Step 2: Convert to fraction form
    79,837/122,752 = 122,752/x
  3. Step 3: Cross multiply
    79,837x = 122,752 × 122,752
  4. Step 4: Simplify right side
    79,837x = 15,068,053,504
  5. Step 5: Solve for x
    x = 15,068,053,504/79,837
  6. Step 6: Final answer
    x = 188,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.