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Finding the Third Proportional to 58,863.75 and 120,828.38

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Solution

The third proportional to 58,863.75 and 120,828.38 is: 248,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,863.75 : 120,828.38 = 120,828.38 : x
  2. Step 2: Convert to fraction form
    58,863.75/120,828.38 = 120,828.38/x
  3. Step 3: Cross multiply
    58,863.75x = 120,828.38 × 120,828.38
  4. Step 4: Simplify right side
    58,863.75x = 14,599,496,205.14
  5. Step 5: Solve for x
    x = 14,599,496,205.14/58,863.75
  6. Step 6: Final answer
    x = 248,021.85

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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.