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Finding the Third Proportional to 66,756 and 146,028

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Solution

The third proportional to 66,756 and 146,028 is: 319,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,756 : 146,028 = 146,028 : x
  2. Step 2: Convert to fraction form
    66,756/146,028 = 146,028/x
  3. Step 3: Cross multiply
    66,756x = 146,028 × 146,028
  4. Step 4: Simplify right side
    66,756x = 21,324,176,784
  5. Step 5: Solve for x
    x = 21,324,176,784/66,756
  6. Step 6: Final answer
    x = 319,434.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.