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Finding the Third Proportional to 65,661 and 144,087

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Solution

The third proportional to 65,661 and 144,087 is: 316,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661 : 144,087 = 144,087 : x
  2. Step 2: Convert to fraction form
    65,661/144,087 = 144,087/x
  3. Step 3: Cross multiply
    65,661x = 144,087 × 144,087
  4. Step 4: Simplify right side
    65,661x = 20,761,063,569
  5. Step 5: Solve for x
    x = 20,761,063,569/65,661
  6. Step 6: Final answer
    x = 316,185.61

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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.