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Finding the Third Proportional to 43,174 and 91,496

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Solution

The third proportional to 43,174 and 91,496 is: 193,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,174 : 91,496 = 91,496 : x
  2. Step 2: Convert to fraction form
    43,174/91,496 = 91,496/x
  3. Step 3: Cross multiply
    43,174x = 91,496 × 91,496
  4. Step 4: Simplify right side
    43,174x = 8,371,518,016
  5. Step 5: Solve for x
    x = 8,371,518,016/43,174
  6. Step 6: Final answer
    x = 193,901.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.