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Finding the Third Proportional to 133,962 and 182,434

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Solution

The third proportional to 133,962 and 182,434 is: 248,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,962 : 182,434 = 182,434 : x
  2. Step 2: Convert to fraction form
    133,962/182,434 = 182,434/x
  3. Step 3: Cross multiply
    133,962x = 182,434 × 182,434
  4. Step 4: Simplify right side
    133,962x = 33,282,164,356
  5. Step 5: Solve for x
    x = 33,282,164,356/133,962
  6. Step 6: Final answer
    x = 248,444.82

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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.