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Finding the Third Proportional to 65,777 and 105,933

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Solution

The third proportional to 65,777 and 105,933 is: 170,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,777 : 105,933 = 105,933 : x
  2. Step 2: Convert to fraction form
    65,777/105,933 = 105,933/x
  3. Step 3: Cross multiply
    65,777x = 105,933 × 105,933
  4. Step 4: Simplify right side
    65,777x = 11,221,800,489
  5. Step 5: Solve for x
    x = 11,221,800,489/65,777
  6. Step 6: Final answer
    x = 170,603.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.