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Finding the Third Proportional to 65,950 and 141,901

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Solution

The third proportional to 65,950 and 141,901 is: 305,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,950 : 141,901 = 141,901 : x
  2. Step 2: Convert to fraction form
    65,950/141,901 = 141,901/x
  3. Step 3: Cross multiply
    65,950x = 141,901 × 141,901
  4. Step 4: Simplify right side
    65,950x = 20,135,893,801
  5. Step 5: Solve for x
    x = 20,135,893,801/65,950
  6. Step 6: Final answer
    x = 305,320.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.