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Finding the Third Proportional to 106,571 and 159,124

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Solution

The third proportional to 106,571 and 159,124 is: 237,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,571 : 159,124 = 159,124 : x
  2. Step 2: Convert to fraction form
    106,571/159,124 = 159,124/x
  3. Step 3: Cross multiply
    106,571x = 159,124 × 159,124
  4. Step 4: Simplify right side
    106,571x = 25,320,447,376
  5. Step 5: Solve for x
    x = 25,320,447,376/106,571
  6. Step 6: Final answer
    x = 237,592.28

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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.