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Finding the Third Proportional to 106,462 and 159,696

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Solution

The third proportional to 106,462 and 159,696 is: 239,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462 : 159,696 = 159,696 : x
  2. Step 2: Convert to fraction form
    106,462/159,696 = 159,696/x
  3. Step 3: Cross multiply
    106,462x = 159,696 × 159,696
  4. Step 4: Simplify right side
    106,462x = 25,502,812,416
  5. Step 5: Solve for x
    x = 25,502,812,416/106,462
  6. Step 6: Final answer
    x = 239,548.50

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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.