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Finding the Third Proportional to 55,096 and 119,348

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Solution

The third proportional to 55,096 and 119,348 is: 258,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,096 : 119,348 = 119,348 : x
  2. Step 2: Convert to fraction form
    55,096/119,348 = 119,348/x
  3. Step 3: Cross multiply
    55,096x = 119,348 × 119,348
  4. Step 4: Simplify right side
    55,096x = 14,243,945,104
  5. Step 5: Solve for x
    x = 14,243,945,104/55,096
  6. Step 6: Final answer
    x = 258,529.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.