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Finding the Third Proportional to 64,739.25 and 133,974

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Solution

The third proportional to 64,739.25 and 133,974 is: 277,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,739.25 : 133,974 = 133,974 : x
  2. Step 2: Convert to fraction form
    64,739.25/133,974 = 133,974/x
  3. Step 3: Cross multiply
    64,739.25x = 133,974 × 133,974
  4. Step 4: Simplify right side
    64,739.25x = 17,949,032,676
  5. Step 5: Solve for x
    x = 17,949,032,676/64,739.25
  6. Step 6: Final answer
    x = 277,251.17

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.