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Finding the Third Proportional to 64,974 and 141,933

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Solution

The third proportional to 64,974 and 141,933 is: 310,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,974 : 141,933 = 141,933 : x
  2. Step 2: Convert to fraction form
    64,974/141,933 = 141,933/x
  3. Step 3: Cross multiply
    64,974x = 141,933 × 141,933
  4. Step 4: Simplify right side
    64,974x = 20,144,976,489
  5. Step 5: Solve for x
    x = 20,144,976,489/64,974
  6. Step 6: Final answer
    x = 310,046.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.