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Finding the Third Proportional to 79,186 and 116,182

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Solution

The third proportional to 79,186 and 116,182 is: 170,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,186 : 116,182 = 116,182 : x
  2. Step 2: Convert to fraction form
    79,186/116,182 = 116,182/x
  3. Step 3: Cross multiply
    79,186x = 116,182 × 116,182
  4. Step 4: Simplify right side
    79,186x = 13,498,257,124
  5. Step 5: Solve for x
    x = 13,498,257,124/79,186
  6. Step 6: Final answer
    x = 170,462.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.