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Finding the Third Proportional to 65,939 and 104,835

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Solution

The third proportional to 65,939 and 104,835 is: 166,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,939 : 104,835 = 104,835 : x
  2. Step 2: Convert to fraction form
    65,939/104,835 = 104,835/x
  3. Step 3: Cross multiply
    65,939x = 104,835 × 104,835
  4. Step 4: Simplify right side
    65,939x = 10,990,377,225
  5. Step 5: Solve for x
    x = 10,990,377,225/65,939
  6. Step 6: Final answer
    x = 166,674.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.