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Finding the Third Proportional to 39,089.25 and 76,234.13

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Solution

The third proportional to 39,089.25 and 76,234.13 is: 148,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,089.25 : 76,234.13 = 76,234.13 : x
  2. Step 2: Convert to fraction form
    39,089.25/76,234.13 = 76,234.13/x
  3. Step 3: Cross multiply
    39,089.25x = 76,234.13 × 76,234.13
  4. Step 4: Simplify right side
    39,089.25x = 5,811,641,814.52
  5. Step 5: Solve for x
    x = 5,811,641,814.52/39,089.25
  6. Step 6: Final answer
    x = 148,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.