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Finding the Third Proportional to 112,916 and 165,134

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Solution

The third proportional to 112,916 and 165,134 is: 241,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,916 : 165,134 = 165,134 : x
  2. Step 2: Convert to fraction form
    112,916/165,134 = 165,134/x
  3. Step 3: Cross multiply
    112,916x = 165,134 × 165,134
  4. Step 4: Simplify right side
    112,916x = 27,269,237,956
  5. Step 5: Solve for x
    x = 27,269,237,956/112,916
  6. Step 6: Final answer
    x = 241,500.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.