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Finding the Third Proportional to 51,092 and 108,368

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Solution

The third proportional to 51,092 and 108,368 is: 229,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,092 : 108,368 = 108,368 : x
  2. Step 2: Convert to fraction form
    51,092/108,368 = 108,368/x
  3. Step 3: Cross multiply
    51,092x = 108,368 × 108,368
  4. Step 4: Simplify right side
    51,092x = 11,743,623,424
  5. Step 5: Solve for x
    x = 11,743,623,424/51,092
  6. Step 6: Final answer
    x = 229,852.49

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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.