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Finding the Third Proportional to 42,234 and 91,017

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Solution

The third proportional to 42,234 and 91,017 is: 196,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,234 : 91,017 = 91,017 : x
  2. Step 2: Convert to fraction form
    42,234/91,017 = 91,017/x
  3. Step 3: Cross multiply
    42,234x = 91,017 × 91,017
  4. Step 4: Simplify right side
    42,234x = 8,284,094,289
  5. Step 5: Solve for x
    x = 8,284,094,289/42,234
  6. Step 6: Final answer
    x = 196,147.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.