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Finding the Third Proportional to 29,954 and 65,092

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Solution

The third proportional to 29,954 and 65,092 is: 141,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954 : 65,092 = 65,092 : x
  2. Step 2: Convert to fraction form
    29,954/65,092 = 65,092/x
  3. Step 3: Cross multiply
    29,954x = 65,092 × 65,092
  4. Step 4: Simplify right side
    29,954x = 4,236,968,464
  5. Step 5: Solve for x
    x = 4,236,968,464/29,954
  6. Step 6: Final answer
    x = 141,449.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.