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Finding the Third Proportional to 133,042 and 180,963

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Solution

The third proportional to 133,042 and 180,963 is: 246,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 180,963 = 180,963 : x
  2. Step 2: Convert to fraction form
    133,042/180,963 = 180,963/x
  3. Step 3: Cross multiply
    133,042x = 180,963 × 180,963
  4. Step 4: Simplify right side
    133,042x = 32,747,607,369
  5. Step 5: Solve for x
    x = 32,747,607,369/133,042
  6. Step 6: Final answer
    x = 246,144.88

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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.