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Finding the Third Proportional to 58,842.75 and 120,786.38

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Solution

The third proportional to 58,842.75 and 120,786.38 is: 247,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.75 : 120,786.38 = 120,786.38 : x
  2. Step 2: Convert to fraction form
    58,842.75/120,786.38 = 120,786.38/x
  3. Step 3: Cross multiply
    58,842.75x = 120,786.38 × 120,786.38
  4. Step 4: Simplify right side
    58,842.75x = 14,589,348,385.64
  5. Step 5: Solve for x
    x = 14,589,348,385.64/58,842.75
  6. Step 6: Final answer
    x = 247,937.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.