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Finding the Third Proportional to 45,542 and 69,695

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Solution

The third proportional to 45,542 and 69,695 is: 106,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,542 : 69,695 = 69,695 : x
  2. Step 2: Convert to fraction form
    45,542/69,695 = 69,695/x
  3. Step 3: Cross multiply
    45,542x = 69,695 × 69,695
  4. Step 4: Simplify right side
    45,542x = 4,857,393,025
  5. Step 5: Solve for x
    x = 4,857,393,025/45,542
  6. Step 6: Final answer
    x = 106,657.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.