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Finding the Third Proportional to 55,738 and 119,036

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Solution

The third proportional to 55,738 and 119,036 is: 254,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,738 : 119,036 = 119,036 : x
  2. Step 2: Convert to fraction form
    55,738/119,036 = 119,036/x
  3. Step 3: Cross multiply
    55,738x = 119,036 × 119,036
  4. Step 4: Simplify right side
    55,738x = 14,169,569,296
  5. Step 5: Solve for x
    x = 14,169,569,296/55,738
  6. Step 6: Final answer
    x = 254,217.40

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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.