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Finding the Third Proportional to 65,839.50 and 144,171

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Solution

The third proportional to 65,839.50 and 144,171 is: 315,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,839.50 : 144,171 = 144,171 : x
  2. Step 2: Convert to fraction form
    65,839.50/144,171 = 144,171/x
  3. Step 3: Cross multiply
    65,839.50x = 144,171 × 144,171
  4. Step 4: Simplify right side
    65,839.50x = 20,785,277,241
  5. Step 5: Solve for x
    x = 20,785,277,241/65,839.50
  6. Step 6: Final answer
    x = 315,696.16

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Why These Related Problems?

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