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Finding the Third Proportional to 106,157 and 165,695

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Solution

The third proportional to 106,157 and 165,695 is: 258,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,157 : 165,695 = 165,695 : x
  2. Step 2: Convert to fraction form
    106,157/165,695 = 165,695/x
  3. Step 3: Cross multiply
    106,157x = 165,695 × 165,695
  4. Step 4: Simplify right side
    106,157x = 27,454,833,025
  5. Step 5: Solve for x
    x = 27,454,833,025/106,157
  6. Step 6: Final answer
    x = 258,624.80

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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.