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Finding the Third Proportional to 55,744 and 119,120

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Solution

The third proportional to 55,744 and 119,120 is: 254,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,744 : 119,120 = 119,120 : x
  2. Step 2: Convert to fraction form
    55,744/119,120 = 119,120/x
  3. Step 3: Cross multiply
    55,744x = 119,120 × 119,120
  4. Step 4: Simplify right side
    55,744x = 14,189,574,400
  5. Step 5: Solve for x
    x = 14,189,574,400/55,744
  6. Step 6: Final answer
    x = 254,548.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.