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Finding the Third Proportional to 65,205 and 93,067

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Solution

The third proportional to 65,205 and 93,067 is: 132,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205 : 93,067 = 93,067 : x
  2. Step 2: Convert to fraction form
    65,205/93,067 = 93,067/x
  3. Step 3: Cross multiply
    65,205x = 93,067 × 93,067
  4. Step 4: Simplify right side
    65,205x = 8,661,466,489
  5. Step 5: Solve for x
    x = 8,661,466,489/65,205
  6. Step 6: Final answer
    x = 132,834.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.