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Finding the Third Proportional to 61,633 and 133,096

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Solution

The third proportional to 61,633 and 133,096 is: 287,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,633 : 133,096 = 133,096 : x
  2. Step 2: Convert to fraction form
    61,633/133,096 = 133,096/x
  3. Step 3: Cross multiply
    61,633x = 133,096 × 133,096
  4. Step 4: Simplify right side
    61,633x = 17,714,545,216
  5. Step 5: Solve for x
    x = 17,714,545,216/61,633
  6. Step 6: Final answer
    x = 287,419.81

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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.