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Finding the Third Proportional to 75,927 and 181,341

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Solution

The third proportional to 75,927 and 181,341 is: 433,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,927 : 181,341 = 181,341 : x
  2. Step 2: Convert to fraction form
    75,927/181,341 = 181,341/x
  3. Step 3: Cross multiply
    75,927x = 181,341 × 181,341
  4. Step 4: Simplify right side
    75,927x = 32,884,558,281
  5. Step 5: Solve for x
    x = 32,884,558,281/75,927
  6. Step 6: Final answer
    x = 433,107.57

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.