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Finding the Third Proportional to 79,817 and 116,215

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Solution

The third proportional to 79,817 and 116,215 is: 169,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,817 : 116,215 = 116,215 : x
  2. Step 2: Convert to fraction form
    79,817/116,215 = 116,215/x
  3. Step 3: Cross multiply
    79,817x = 116,215 × 116,215
  4. Step 4: Simplify right side
    79,817x = 13,505,926,225
  5. Step 5: Solve for x
    x = 13,505,926,225/79,817
  6. Step 6: Final answer
    x = 169,211.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.