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Finding the Third Proportional to 52,615 and 111,803

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Solution

The third proportional to 52,615 and 111,803 is: 237,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,615 : 111,803 = 111,803 : x
  2. Step 2: Convert to fraction form
    52,615/111,803 = 111,803/x
  3. Step 3: Cross multiply
    52,615x = 111,803 × 111,803
  4. Step 4: Simplify right side
    52,615x = 12,499,910,809
  5. Step 5: Solve for x
    x = 12,499,910,809/52,615
  6. Step 6: Final answer
    x = 237,573.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.