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Finding the Third Proportional to 78,227 and 117,715

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Solution

The third proportional to 78,227 and 117,715 is: 177,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,227 : 117,715 = 117,715 : x
  2. Step 2: Convert to fraction form
    78,227/117,715 = 117,715/x
  3. Step 3: Cross multiply
    78,227x = 117,715 × 117,715
  4. Step 4: Simplify right side
    78,227x = 13,856,821,225
  5. Step 5: Solve for x
    x = 13,856,821,225/78,227
  6. Step 6: Final answer
    x = 177,136.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.