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Finding the Third Proportional to 65,811 and 105,983

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Solution

The third proportional to 65,811 and 105,983 is: 170,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,811 : 105,983 = 105,983 : x
  2. Step 2: Convert to fraction form
    65,811/105,983 = 105,983/x
  3. Step 3: Cross multiply
    65,811x = 105,983 × 105,983
  4. Step 4: Simplify right side
    65,811x = 11,232,396,289
  5. Step 5: Solve for x
    x = 11,232,396,289/65,811
  6. Step 6: Final answer
    x = 170,676.58

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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.