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Finding the Third Proportional to 76,962 and 183,414

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Solution

The third proportional to 76,962 and 183,414 is: 437,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,962 : 183,414 = 183,414 : x
  2. Step 2: Convert to fraction form
    76,962/183,414 = 183,414/x
  3. Step 3: Cross multiply
    76,962x = 183,414 × 183,414
  4. Step 4: Simplify right side
    76,962x = 33,640,695,396
  5. Step 5: Solve for x
    x = 33,640,695,396/76,962
  6. Step 6: Final answer
    x = 437,107.86

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.