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Finding the Third Proportional to 116,169 and 170,849

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Solution

The third proportional to 116,169 and 170,849 is: 251,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,169 : 170,849 = 170,849 : x
  2. Step 2: Convert to fraction form
    116,169/170,849 = 170,849/x
  3. Step 3: Cross multiply
    116,169x = 170,849 × 170,849
  4. Step 4: Simplify right side
    116,169x = 29,189,380,801
  5. Step 5: Solve for x
    x = 29,189,380,801/116,169
  6. Step 6: Final answer
    x = 251,266.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.