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Finding the Third Proportional to 65,934 and 104,780.25

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Solution

The third proportional to 65,934 and 104,780.25 is: 166,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934 : 104,780.25 = 104,780.25 : x
  2. Step 2: Convert to fraction form
    65,934/104,780.25 = 104,780.25/x
  3. Step 3: Cross multiply
    65,934x = 104,780.25 × 104,780.25
  4. Step 4: Simplify right side
    65,934x = 10,978,900,790.06
  5. Step 5: Solve for x
    x = 10,978,900,790.06/65,934
  6. Step 6: Final answer
    x = 166,513.50

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