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Finding the Third Proportional to 55,204 and 85,964

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Solution

The third proportional to 55,204 and 85,964 is: 133,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,204 : 85,964 = 85,964 : x
  2. Step 2: Convert to fraction form
    55,204/85,964 = 85,964/x
  3. Step 3: Cross multiply
    55,204x = 85,964 × 85,964
  4. Step 4: Simplify right side
    55,204x = 7,389,809,296
  5. Step 5: Solve for x
    x = 7,389,809,296/55,204
  6. Step 6: Final answer
    x = 133,863.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.