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Finding the Third Proportional to 42,514 and 91,532

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Solution

The third proportional to 42,514 and 91,532 is: 197,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,514 : 91,532 = 91,532 : x
  2. Step 2: Convert to fraction form
    42,514/91,532 = 91,532/x
  3. Step 3: Cross multiply
    42,514x = 91,532 × 91,532
  4. Step 4: Simplify right side
    42,514x = 8,378,107,024
  5. Step 5: Solve for x
    x = 8,378,107,024/42,514
  6. Step 6: Final answer
    x = 197,067.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.