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Finding the Third Proportional to 55,076 and 119,496

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Solution

The third proportional to 55,076 and 119,496 is: 259,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,076 : 119,496 = 119,496 : x
  2. Step 2: Convert to fraction form
    55,076/119,496 = 119,496/x
  3. Step 3: Cross multiply
    55,076x = 119,496 × 119,496
  4. Step 4: Simplify right side
    55,076x = 14,279,294,016
  5. Step 5: Solve for x
    x = 14,279,294,016/55,076
  6. Step 6: Final answer
    x = 259,265.27

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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.