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Finding the Third Proportional to 47,197 and 71,399

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Solution

The third proportional to 47,197 and 71,399 is: 108,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197 : 71,399 = 71,399 : x
  2. Step 2: Convert to fraction form
    47,197/71,399 = 71,399/x
  3. Step 3: Cross multiply
    47,197x = 71,399 × 71,399
  4. Step 4: Simplify right side
    47,197x = 5,097,817,201
  5. Step 5: Solve for x
    x = 5,097,817,201/47,197
  6. Step 6: Final answer
    x = 108,011.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.