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Finding the Third Proportional to 133,048 and 180,972

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Solution

The third proportional to 133,048 and 180,972 is: 246,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 180,972 = 180,972 : x
  2. Step 2: Convert to fraction form
    133,048/180,972 = 180,972/x
  3. Step 3: Cross multiply
    133,048x = 180,972 × 180,972
  4. Step 4: Simplify right side
    133,048x = 32,750,864,784
  5. Step 5: Solve for x
    x = 32,750,864,784/133,048
  6. Step 6: Final answer
    x = 246,158.26

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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.