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Finding the Third Proportional to 61,785 and 133,189

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Solution

The third proportional to 61,785 and 133,189 is: 287,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,785 : 133,189 = 133,189 : x
  2. Step 2: Convert to fraction form
    61,785/133,189 = 133,189/x
  3. Step 3: Cross multiply
    61,785x = 133,189 × 133,189
  4. Step 4: Simplify right side
    61,785x = 17,739,309,721
  5. Step 5: Solve for x
    x = 17,739,309,721/61,785
  6. Step 6: Final answer
    x = 287,113.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.