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Finding the Third Proportional to 36,732 and 79,188

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Solution

The third proportional to 36,732 and 79,188 is: 170,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,732 : 79,188 = 79,188 : x
  2. Step 2: Convert to fraction form
    36,732/79,188 = 79,188/x
  3. Step 3: Cross multiply
    36,732x = 79,188 × 79,188
  4. Step 4: Simplify right side
    36,732x = 6,270,739,344
  5. Step 5: Solve for x
    x = 6,270,739,344/36,732
  6. Step 6: Final answer
    x = 170,715.98

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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.