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Finding the Third Proportional to 55,954.75 and 120,846

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Solution

The third proportional to 55,954.75 and 120,846 is: 260,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,954.75 : 120,846 = 120,846 : x
  2. Step 2: Convert to fraction form
    55,954.75/120,846 = 120,846/x
  3. Step 3: Cross multiply
    55,954.75x = 120,846 × 120,846
  4. Step 4: Simplify right side
    55,954.75x = 14,603,755,716
  5. Step 5: Solve for x
    x = 14,603,755,716/55,954.75
  6. Step 6: Final answer
    x = 260,992.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.