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Finding the Third Proportional to 76,966 and 183,424

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Solution

The third proportional to 76,966 and 183,424 is: 437,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,966 : 183,424 = 183,424 : x
  2. Step 2: Convert to fraction form
    76,966/183,424 = 183,424/x
  3. Step 3: Cross multiply
    76,966x = 183,424 × 183,424
  4. Step 4: Simplify right side
    76,966x = 33,644,363,776
  5. Step 5: Solve for x
    x = 33,644,363,776/76,966
  6. Step 6: Final answer
    x = 437,132.81

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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.