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Finding the Third Proportional to 106,836 and 158,608

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Solution

The third proportional to 106,836 and 158,608 is: 235,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,836 : 158,608 = 158,608 : x
  2. Step 2: Convert to fraction form
    106,836/158,608 = 158,608/x
  3. Step 3: Cross multiply
    106,836x = 158,608 × 158,608
  4. Step 4: Simplify right side
    106,836x = 25,156,497,664
  5. Step 5: Solve for x
    x = 25,156,497,664/106,836
  6. Step 6: Final answer
    x = 235,468.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.