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Finding the Third Proportional to 79,605 and 108,177

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Solution

The third proportional to 79,605 and 108,177 is: 147,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,605 : 108,177 = 108,177 : x
  2. Step 2: Convert to fraction form
    79,605/108,177 = 108,177/x
  3. Step 3: Cross multiply
    79,605x = 108,177 × 108,177
  4. Step 4: Simplify right side
    79,605x = 11,702,263,329
  5. Step 5: Solve for x
    x = 11,702,263,329/79,605
  6. Step 6: Final answer
    x = 147,004.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.