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Finding the Third Proportional to 72,615 and 159,562

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Solution

The third proportional to 72,615 and 159,562 is: 350,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,615 : 159,562 = 159,562 : x
  2. Step 2: Convert to fraction form
    72,615/159,562 = 159,562/x
  3. Step 3: Cross multiply
    72,615x = 159,562 × 159,562
  4. Step 4: Simplify right side
    72,615x = 25,460,031,844
  5. Step 5: Solve for x
    x = 25,460,031,844/72,615
  6. Step 6: Final answer
    x = 350,616.70

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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.