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Finding the Third Proportional to 122,696 and 183,311

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Solution

The third proportional to 122,696 and 183,311 is: 273,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,696 : 183,311 = 183,311 : x
  2. Step 2: Convert to fraction form
    122,696/183,311 = 183,311/x
  3. Step 3: Cross multiply
    122,696x = 183,311 × 183,311
  4. Step 4: Simplify right side
    122,696x = 33,602,922,721
  5. Step 5: Solve for x
    x = 33,602,922,721/122,696
  6. Step 6: Final answer
    x = 273,871.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.