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Finding the Third Proportional to 92,108 and 165,262

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Solution

The third proportional to 92,108 and 165,262 is: 296,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,108 : 165,262 = 165,262 : x
  2. Step 2: Convert to fraction form
    92,108/165,262 = 165,262/x
  3. Step 3: Cross multiply
    92,108x = 165,262 × 165,262
  4. Step 4: Simplify right side
    92,108x = 27,311,528,644
  5. Step 5: Solve for x
    x = 27,311,528,644/92,108
  6. Step 6: Final answer
    x = 296,516.36

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.