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Finding the Third Proportional to 73,615 and 116,751

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Solution

The third proportional to 73,615 and 116,751 is: 185,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,615 : 116,751 = 116,751 : x
  2. Step 2: Convert to fraction form
    73,615/116,751 = 116,751/x
  3. Step 3: Cross multiply
    73,615x = 116,751 × 116,751
  4. Step 4: Simplify right side
    73,615x = 13,630,796,001
  5. Step 5: Solve for x
    x = 13,630,796,001/73,615
  6. Step 6: Final answer
    x = 185,163.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.