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Finding the Third Proportional to 133,026 and 180,939

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Solution

The third proportional to 133,026 and 180,939 is: 246,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 180,939 = 180,939 : x
  2. Step 2: Convert to fraction form
    133,026/180,939 = 180,939/x
  3. Step 3: Cross multiply
    133,026x = 180,939 × 180,939
  4. Step 4: Simplify right side
    133,026x = 32,738,921,721
  5. Step 5: Solve for x
    x = 32,738,921,721/133,026
  6. Step 6: Final answer
    x = 246,109.19

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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.