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Finding the Third Proportional to 107,078 and 166,551

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Solution

The third proportional to 107,078 and 166,551 is: 259,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,078 : 166,551 = 166,551 : x
  2. Step 2: Convert to fraction form
    107,078/166,551 = 166,551/x
  3. Step 3: Cross multiply
    107,078x = 166,551 × 166,551
  4. Step 4: Simplify right side
    107,078x = 27,739,235,601
  5. Step 5: Solve for x
    x = 27,739,235,601/107,078
  6. Step 6: Final answer
    x = 259,056.35

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Why These Related Problems?

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