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Finding the Third Proportional to 106,016 and 148,608

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Solution

The third proportional to 106,016 and 148,608 is: 208,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,016 : 148,608 = 148,608 : x
  2. Step 2: Convert to fraction form
    106,016/148,608 = 148,608/x
  3. Step 3: Cross multiply
    106,016x = 148,608 × 148,608
  4. Step 4: Simplify right side
    106,016x = 22,084,337,664
  5. Step 5: Solve for x
    x = 22,084,337,664/106,016
  6. Step 6: Final answer
    x = 208,311.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.