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Finding the Third Proportional to 133,031 and 180,946

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Solution

The third proportional to 133,031 and 180,946 is: 246,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031 : 180,946 = 180,946 : x
  2. Step 2: Convert to fraction form
    133,031/180,946 = 180,946/x
  3. Step 3: Cross multiply
    133,031x = 180,946 × 180,946
  4. Step 4: Simplify right side
    133,031x = 32,741,454,916
  5. Step 5: Solve for x
    x = 32,741,454,916/133,031
  6. Step 6: Final answer
    x = 246,118.99

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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.