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Finding the Third Proportional to 106,472 and 159,711

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Solution

The third proportional to 106,472 and 159,711 is: 239,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,472 : 159,711 = 159,711 : x
  2. Step 2: Convert to fraction form
    106,472/159,711 = 159,711/x
  3. Step 3: Cross multiply
    106,472x = 159,711 × 159,711
  4. Step 4: Simplify right side
    106,472x = 25,507,603,521
  5. Step 5: Solve for x
    x = 25,507,603,521/106,472
  6. Step 6: Final answer
    x = 239,571.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.