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Finding the Third Proportional to 111,222.70 and 172,363.78

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Solution

The third proportional to 111,222.70 and 172,363.78 is: 267,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,222.70 : 172,363.78 = 172,363.78 : x
  2. Step 2: Convert to fraction form
    111,222.70/172,363.78 = 172,363.78/x
  3. Step 3: Cross multiply
    111,222.70x = 172,363.78 × 172,363.78
  4. Step 4: Simplify right side
    111,222.70x = 29,709,273,086.80
  5. Step 5: Solve for x
    x = 29,709,273,086.80/111,222.70
  6. Step 6: Final answer
    x = 267,115.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.