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Finding the Third Proportional to 65,892 and 144,924

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Solution

The third proportional to 65,892 and 144,924 is: 318,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,892 : 144,924 = 144,924 : x
  2. Step 2: Convert to fraction form
    65,892/144,924 = 144,924/x
  3. Step 3: Cross multiply
    65,892x = 144,924 × 144,924
  4. Step 4: Simplify right side
    65,892x = 21,002,965,776
  5. Step 5: Solve for x
    x = 21,002,965,776/65,892
  6. Step 6: Final answer
    x = 318,748.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.