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Finding the Third Proportional to 92,106 and 165,258

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Solution

The third proportional to 92,106 and 165,258 is: 296,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106 : 165,258 = 165,258 : x
  2. Step 2: Convert to fraction form
    92,106/165,258 = 165,258/x
  3. Step 3: Cross multiply
    92,106x = 165,258 × 165,258
  4. Step 4: Simplify right side
    92,106x = 27,310,206,564
  5. Step 5: Solve for x
    x = 27,310,206,564/92,106
  6. Step 6: Final answer
    x = 296,508.44

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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.