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Finding the Third Proportional to 106,543 and 159,079

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Solution

The third proportional to 106,543 and 159,079 is: 237,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543 : 159,079 = 159,079 : x
  2. Step 2: Convert to fraction form
    106,543/159,079 = 159,079/x
  3. Step 3: Cross multiply
    106,543x = 159,079 × 159,079
  4. Step 4: Simplify right side
    106,543x = 25,306,128,241
  5. Step 5: Solve for x
    x = 25,306,128,241/106,543
  6. Step 6: Final answer
    x = 237,520.33

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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.