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Finding the Third Proportional to 106,456 and 159,692

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Solution

The third proportional to 106,456 and 159,692 is: 239,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456 : 159,692 = 159,692 : x
  2. Step 2: Convert to fraction form
    106,456/159,692 = 159,692/x
  3. Step 3: Cross multiply
    106,456x = 159,692 × 159,692
  4. Step 4: Simplify right side
    106,456x = 25,501,534,864
  5. Step 5: Solve for x
    x = 25,501,534,864/106,456
  6. Step 6: Final answer
    x = 239,550.00

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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.