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Finding the Third Proportional to 108,166.50 and 171,105.75

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Solution

The third proportional to 108,166.50 and 171,105.75 is: 270,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,166.50 : 171,105.75 = 171,105.75 : x
  2. Step 2: Convert to fraction form
    108,166.50/171,105.75 = 171,105.75/x
  3. Step 3: Cross multiply
    108,166.50x = 171,105.75 × 171,105.75
  4. Step 4: Simplify right side
    108,166.50x = 29,277,177,683.06
  5. Step 5: Solve for x
    x = 29,277,177,683.06/108,166.50
  6. Step 6: Final answer
    x = 270,667.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.