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Finding the Third Proportional to 106,458 and 159,690

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Solution

The third proportional to 106,458 and 159,690 is: 239,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,458 : 159,690 = 159,690 : x
  2. Step 2: Convert to fraction form
    106,458/159,690 = 159,690/x
  3. Step 3: Cross multiply
    106,458x = 159,690 × 159,690
  4. Step 4: Simplify right side
    106,458x = 25,500,896,100
  5. Step 5: Solve for x
    x = 25,500,896,100/106,458
  6. Step 6: Final answer
    x = 239,539.50

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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.