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Finding the Third Proportional to 107,045 and 166,695

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Solution

The third proportional to 107,045 and 166,695 is: 259,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,045 : 166,695 = 166,695 : x
  2. Step 2: Convert to fraction form
    107,045/166,695 = 166,695/x
  3. Step 3: Cross multiply
    107,045x = 166,695 × 166,695
  4. Step 4: Simplify right side
    107,045x = 27,787,223,025
  5. Step 5: Solve for x
    x = 27,787,223,025/107,045
  6. Step 6: Final answer
    x = 259,584.50

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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.