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Finding the Third Proportional to 133,463 and 180,147

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Solution

The third proportional to 133,463 and 180,147 is: 243,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,463 : 180,147 = 180,147 : x
  2. Step 2: Convert to fraction form
    133,463/180,147 = 180,147/x
  3. Step 3: Cross multiply
    133,463x = 180,147 × 180,147
  4. Step 4: Simplify right side
    133,463x = 32,452,941,609
  5. Step 5: Solve for x
    x = 32,452,941,609/133,463
  6. Step 6: Final answer
    x = 243,160.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.