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Finding the Third Proportional to 91,046 and 192,892

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Solution

The third proportional to 91,046 and 192,892 is: 408,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,046 : 192,892 = 192,892 : x
  2. Step 2: Convert to fraction form
    91,046/192,892 = 192,892/x
  3. Step 3: Cross multiply
    91,046x = 192,892 × 192,892
  4. Step 4: Simplify right side
    91,046x = 37,207,323,664
  5. Step 5: Solve for x
    x = 37,207,323,664/91,046
  6. Step 6: Final answer
    x = 408,665.11

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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.