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Finding the Third Proportional to 42,241 and 91,178

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Solution

The third proportional to 42,241 and 91,178 is: 196,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,241 : 91,178 = 91,178 : x
  2. Step 2: Convert to fraction form
    42,241/91,178 = 91,178/x
  3. Step 3: Cross multiply
    42,241x = 91,178 × 91,178
  4. Step 4: Simplify right side
    42,241x = 8,313,427,684
  5. Step 5: Solve for x
    x = 8,313,427,684/42,241
  6. Step 6: Final answer
    x = 196,809.44

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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.