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Finding the Third Proportional to 101,802 and 149,652

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Solution

The third proportional to 101,802 and 149,652 is: 219,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,802 : 149,652 = 149,652 : x
  2. Step 2: Convert to fraction form
    101,802/149,652 = 149,652/x
  3. Step 3: Cross multiply
    101,802x = 149,652 × 149,652
  4. Step 4: Simplify right side
    101,802x = 22,395,721,104
  5. Step 5: Solve for x
    x = 22,395,721,104/101,802
  6. Step 6: Final answer
    x = 219,992.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.