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Finding the Third Proportional to 76,546 and 116,439

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Solution

The third proportional to 76,546 and 116,439 is: 177,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546 : 116,439 = 116,439 : x
  2. Step 2: Convert to fraction form
    76,546/116,439 = 116,439/x
  3. Step 3: Cross multiply
    76,546x = 116,439 × 116,439
  4. Step 4: Simplify right side
    76,546x = 13,558,040,721
  5. Step 5: Solve for x
    x = 13,558,040,721/76,546
  6. Step 6: Final answer
    x = 177,122.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.