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Finding the Third Proportional to 133,966 and 182,440

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Solution

The third proportional to 133,966 and 182,440 is: 248,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,966 : 182,440 = 182,440 : x
  2. Step 2: Convert to fraction form
    133,966/182,440 = 182,440/x
  3. Step 3: Cross multiply
    133,966x = 182,440 × 182,440
  4. Step 4: Simplify right side
    133,966x = 33,284,353,600
  5. Step 5: Solve for x
    x = 33,284,353,600/133,966
  6. Step 6: Final answer
    x = 248,453.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.