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Finding the Third Proportional to 65,260.27 and 103,842.84

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Solution

The third proportional to 65,260.27 and 103,842.84 is: 165,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260.27 : 103,842.84 = 103,842.84 : x
  2. Step 2: Convert to fraction form
    65,260.27/103,842.84 = 103,842.84/x
  3. Step 3: Cross multiply
    65,260.27x = 103,842.84 × 103,842.84
  4. Step 4: Simplify right side
    65,260.27x = 10,783,336,198.09
  5. Step 5: Solve for x
    x = 10,783,336,198.09/65,260.27
  6. Step 6: Final answer
    x = 165,235.86

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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.