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Finding the Third Proportional to 55,108 and 120,770

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Solution

The third proportional to 55,108 and 120,770 is: 264,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,108 : 120,770 = 120,770 : x
  2. Step 2: Convert to fraction form
    55,108/120,770 = 120,770/x
  3. Step 3: Cross multiply
    55,108x = 120,770 × 120,770
  4. Step 4: Simplify right side
    55,108x = 14,585,392,900
  5. Step 5: Solve for x
    x = 14,585,392,900/55,108
  6. Step 6: Final answer
    x = 264,669.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.