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Finding the Third Proportional to 83,265 and 126,971

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Solution

The third proportional to 83,265 and 126,971 is: 193,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265 : 126,971 = 126,971 : x
  2. Step 2: Convert to fraction form
    83,265/126,971 = 126,971/x
  3. Step 3: Cross multiply
    83,265x = 126,971 × 126,971
  4. Step 4: Simplify right side
    83,265x = 16,121,634,841
  5. Step 5: Solve for x
    x = 16,121,634,841/83,265
  6. Step 6: Final answer
    x = 193,618.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.