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Finding the Third Proportional to 36,182 and 78,196

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Solution

The third proportional to 36,182 and 78,196 is: 168,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,182 : 78,196 = 78,196 : x
  2. Step 2: Convert to fraction form
    36,182/78,196 = 78,196/x
  3. Step 3: Cross multiply
    36,182x = 78,196 × 78,196
  4. Step 4: Simplify right side
    36,182x = 6,114,614,416
  5. Step 5: Solve for x
    x = 6,114,614,416/36,182
  6. Step 6: Final answer
    x = 168,996.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.