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Finding the Third Proportional to 106,599.38 and 159,735

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Solution

The third proportional to 106,599.38 and 159,735 is: 239,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,599.38 : 159,735 = 159,735 : x
  2. Step 2: Convert to fraction form
    106,599.38/159,735 = 159,735/x
  3. Step 3: Cross multiply
    106,599.38x = 159,735 × 159,735
  4. Step 4: Simplify right side
    106,599.38x = 25,515,270,225
  5. Step 5: Solve for x
    x = 25,515,270,225/106,599.38
  6. Step 6: Final answer
    x = 239,356.66

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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.