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Finding the Third Proportional to 55,165 and 119,079

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Solution

The third proportional to 55,165 and 119,079 is: 257,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165 : 119,079 = 119,079 : x
  2. Step 2: Convert to fraction form
    55,165/119,079 = 119,079/x
  3. Step 3: Cross multiply
    55,165x = 119,079 × 119,079
  4. Step 4: Simplify right side
    55,165x = 14,179,808,241
  5. Step 5: Solve for x
    x = 14,179,808,241/55,165
  6. Step 6: Final answer
    x = 257,043.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.