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Finding the Third Proportional to 114,936.75 and 172,560.38

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Solution

The third proportional to 114,936.75 and 172,560.38 is: 259,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,936.75 : 172,560.38 = 172,560.38 : x
  2. Step 2: Convert to fraction form
    114,936.75/172,560.38 = 172,560.38/x
  3. Step 3: Cross multiply
    114,936.75x = 172,560.38 × 172,560.38
  4. Step 4: Simplify right side
    114,936.75x = 29,777,083,020.14
  5. Step 5: Solve for x
    x = 29,777,083,020.14/114,936.75
  6. Step 6: Final answer
    x = 259,073.65

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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.