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Finding the Third Proportional to 91,102 and 192,106

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Solution

The third proportional to 91,102 and 192,106 is: 405,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,102 : 192,106 = 192,106 : x
  2. Step 2: Convert to fraction form
    91,102/192,106 = 192,106/x
  3. Step 3: Cross multiply
    91,102x = 192,106 × 192,106
  4. Step 4: Simplify right side
    91,102x = 36,904,715,236
  5. Step 5: Solve for x
    x = 36,904,715,236/91,102
  6. Step 6: Final answer
    x = 405,092.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.