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Finding the Third Proportional to 111,125 and 172,115

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Solution

The third proportional to 111,125 and 172,115 is: 266,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,125 : 172,115 = 172,115 : x
  2. Step 2: Convert to fraction form
    111,125/172,115 = 172,115/x
  3. Step 3: Cross multiply
    111,125x = 172,115 × 172,115
  4. Step 4: Simplify right side
    111,125x = 29,623,573,225
  5. Step 5: Solve for x
    x = 29,623,573,225/111,125
  6. Step 6: Final answer
    x = 266,578.84

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Why These Related Problems?

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