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Finding the Third Proportional to 42,067 and 89,971

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Solution

The third proportional to 42,067 and 89,971 is: 192,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,067 : 89,971 = 89,971 : x
  2. Step 2: Convert to fraction form
    42,067/89,971 = 89,971/x
  3. Step 3: Cross multiply
    42,067x = 89,971 × 89,971
  4. Step 4: Simplify right side
    42,067x = 8,094,780,841
  5. Step 5: Solve for x
    x = 8,094,780,841/42,067
  6. Step 6: Final answer
    x = 192,425.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.