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Finding the Third Proportional to 79,296 and 122,971

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Solution

The third proportional to 79,296 and 122,971 is: 190,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296 : 122,971 = 122,971 : x
  2. Step 2: Convert to fraction form
    79,296/122,971 = 122,971/x
  3. Step 3: Cross multiply
    79,296x = 122,971 × 122,971
  4. Step 4: Simplify right side
    79,296x = 15,121,866,841
  5. Step 5: Solve for x
    x = 15,121,866,841/79,296
  6. Step 6: Final answer
    x = 190,701.51

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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.