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Finding the Third Proportional to 51,207 and 82,197

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Solution

The third proportional to 51,207 and 82,197 is: 131,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207 : 82,197 = 82,197 : x
  2. Step 2: Convert to fraction form
    51,207/82,197 = 82,197/x
  3. Step 3: Cross multiply
    51,207x = 82,197 × 82,197
  4. Step 4: Simplify right side
    51,207x = 6,756,346,809
  5. Step 5: Solve for x
    x = 6,756,346,809/51,207
  6. Step 6: Final answer
    x = 131,941.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.