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Finding the Third Proportional to 72,814 and 159,652

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Solution

The third proportional to 72,814 and 159,652 is: 350,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,814 : 159,652 = 159,652 : x
  2. Step 2: Convert to fraction form
    72,814/159,652 = 159,652/x
  3. Step 3: Cross multiply
    72,814x = 159,652 × 159,652
  4. Step 4: Simplify right side
    72,814x = 25,488,761,104
  5. Step 5: Solve for x
    x = 25,488,761,104/72,814
  6. Step 6: Final answer
    x = 350,053.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.