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Finding the Third Proportional to 107,052 and 166,706

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Solution

The third proportional to 107,052 and 166,706 is: 259,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,052 : 166,706 = 166,706 : x
  2. Step 2: Convert to fraction form
    107,052/166,706 = 166,706/x
  3. Step 3: Cross multiply
    107,052x = 166,706 × 166,706
  4. Step 4: Simplify right side
    107,052x = 27,790,890,436
  5. Step 5: Solve for x
    x = 27,790,890,436/107,052
  6. Step 6: Final answer
    x = 259,601.79

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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.