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Finding the Third Proportional to 47,615 and 104,570

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Solution

The third proportional to 47,615 and 104,570 is: 229,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,615 : 104,570 = 104,570 : x
  2. Step 2: Convert to fraction form
    47,615/104,570 = 104,570/x
  3. Step 3: Cross multiply
    47,615x = 104,570 × 104,570
  4. Step 4: Simplify right side
    47,615x = 10,934,884,900
  5. Step 5: Solve for x
    x = 10,934,884,900/47,615
  6. Step 6: Final answer
    x = 229,652.10

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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.