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Finding the Third Proportional to 97,972 and 200,092

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Solution

The third proportional to 97,972 and 200,092 is: 408,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,972 : 200,092 = 200,092 : x
  2. Step 2: Convert to fraction form
    97,972/200,092 = 200,092/x
  3. Step 3: Cross multiply
    97,972x = 200,092 × 200,092
  4. Step 4: Simplify right side
    97,972x = 40,036,808,464
  5. Step 5: Solve for x
    x = 40,036,808,464/97,972
  6. Step 6: Final answer
    x = 408,655.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.