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Finding the Third Proportional to 34,114 and 69,615

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Solution

The third proportional to 34,114 and 69,615 is: 142,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114 : 69,615 = 69,615 : x
  2. Step 2: Convert to fraction form
    34,114/69,615 = 69,615/x
  3. Step 3: Cross multiply
    34,114x = 69,615 × 69,615
  4. Step 4: Simplify right side
    34,114x = 4,846,248,225
  5. Step 5: Solve for x
    x = 4,846,248,225/34,114
  6. Step 6: Final answer
    x = 142,060.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.