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Finding the Third Proportional to 106,854 and 151,881

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Solution

The third proportional to 106,854 and 151,881 is: 215,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,854 : 151,881 = 151,881 : x
  2. Step 2: Convert to fraction form
    106,854/151,881 = 151,881/x
  3. Step 3: Cross multiply
    106,854x = 151,881 × 151,881
  4. Step 4: Simplify right side
    106,854x = 23,067,838,161
  5. Step 5: Solve for x
    x = 23,067,838,161/106,854
  6. Step 6: Final answer
    x = 215,881.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.