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Finding the Third Proportional to 106,439 and 159,674

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Solution

The third proportional to 106,439 and 159,674 is: 239,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,439 : 159,674 = 159,674 : x
  2. Step 2: Convert to fraction form
    106,439/159,674 = 159,674/x
  3. Step 3: Cross multiply
    106,439x = 159,674 × 159,674
  4. Step 4: Simplify right side
    106,439x = 25,495,786,276
  5. Step 5: Solve for x
    x = 25,495,786,276/106,439
  6. Step 6: Final answer
    x = 239,534.25

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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.