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Finding the Third Proportional to 79,350 and 122,967

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Solution

The third proportional to 79,350 and 122,967 is: 190,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,350 : 122,967 = 122,967 : x
  2. Step 2: Convert to fraction form
    79,350/122,967 = 122,967/x
  3. Step 3: Cross multiply
    79,350x = 122,967 × 122,967
  4. Step 4: Simplify right side
    79,350x = 15,120,883,089
  5. Step 5: Solve for x
    x = 15,120,883,089/79,350
  6. Step 6: Final answer
    x = 190,559.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.