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Finding the Third Proportional to 133,784 and 182,220

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Solution

The third proportional to 133,784 and 182,220 is: 248,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784 : 182,220 = 182,220 : x
  2. Step 2: Convert to fraction form
    133,784/182,220 = 182,220/x
  3. Step 3: Cross multiply
    133,784x = 182,220 × 182,220
  4. Step 4: Simplify right side
    133,784x = 33,204,128,400
  5. Step 5: Solve for x
    x = 33,204,128,400/133,784
  6. Step 6: Final answer
    x = 248,192.07

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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.