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Finding the Third Proportional to 58,846.13 and 120,792.75

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Solution

The third proportional to 58,846.13 and 120,792.75 is: 247,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,846.13 : 120,792.75 = 120,792.75 : x
  2. Step 2: Convert to fraction form
    58,846.13/120,792.75 = 120,792.75/x
  3. Step 3: Cross multiply
    58,846.13x = 120,792.75 × 120,792.75
  4. Step 4: Simplify right side
    58,846.13x = 14,590,888,452.56
  5. Step 5: Solve for x
    x = 14,590,888,452.56/58,846.13
  6. Step 6: Final answer
    x = 247,949.86

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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.