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Finding the Third Proportional to 114,934 and 172,558

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Solution

The third proportional to 114,934 and 172,558 is: 259,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,934 : 172,558 = 172,558 : x
  2. Step 2: Convert to fraction form
    114,934/172,558 = 172,558/x
  3. Step 3: Cross multiply
    114,934x = 172,558 × 172,558
  4. Step 4: Simplify right side
    114,934x = 29,776,263,364
  5. Step 5: Solve for x
    x = 29,776,263,364/114,934
  6. Step 6: Final answer
    x = 259,072.71

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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.