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Finding the Third Proportional to 63,974 and 135,330

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Solution

The third proportional to 63,974 and 135,330 is: 286,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,974 : 135,330 = 135,330 : x
  2. Step 2: Convert to fraction form
    63,974/135,330 = 135,330/x
  3. Step 3: Cross multiply
    63,974x = 135,330 × 135,330
  4. Step 4: Simplify right side
    63,974x = 18,314,208,900
  5. Step 5: Solve for x
    x = 18,314,208,900/63,974
  6. Step 6: Final answer
    x = 286,275.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.