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Finding the Third Proportional to 61,993 and 133,825

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Solution

The third proportional to 61,993 and 133,825 is: 288,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,993 : 133,825 = 133,825 : x
  2. Step 2: Convert to fraction form
    61,993/133,825 = 133,825/x
  3. Step 3: Cross multiply
    61,993x = 133,825 × 133,825
  4. Step 4: Simplify right side
    61,993x = 17,909,130,625
  5. Step 5: Solve for x
    x = 17,909,130,625/61,993
  6. Step 6: Final answer
    x = 288,889.56

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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.