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Finding the Third Proportional to 72,636 and 159,648

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Solution

The third proportional to 72,636 and 159,648 is: 350,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,636 : 159,648 = 159,648 : x
  2. Step 2: Convert to fraction form
    72,636/159,648 = 159,648/x
  3. Step 3: Cross multiply
    72,636x = 159,648 × 159,648
  4. Step 4: Simplify right side
    72,636x = 25,487,483,904
  5. Step 5: Solve for x
    x = 25,487,483,904/72,636
  6. Step 6: Final answer
    x = 350,893.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.