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Finding the Third Proportional to 55,689 and 120,135

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Solution

The third proportional to 55,689 and 120,135 is: 259,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689 : 120,135 = 120,135 : x
  2. Step 2: Convert to fraction form
    55,689/120,135 = 120,135/x
  3. Step 3: Cross multiply
    55,689x = 120,135 × 120,135
  4. Step 4: Simplify right side
    55,689x = 14,432,418,225
  5. Step 5: Solve for x
    x = 14,432,418,225/55,689
  6. Step 6: Final answer
    x = 259,161.02

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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.