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Finding the Third Proportional to 108,033.75 and 170,930.25

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Solution

The third proportional to 108,033.75 and 170,930.25 is: 270,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,033.75 : 170,930.25 = 170,930.25 : x
  2. Step 2: Convert to fraction form
    108,033.75/170,930.25 = 170,930.25/x
  3. Step 3: Cross multiply
    108,033.75x = 170,930.25 × 170,930.25
  4. Step 4: Simplify right side
    108,033.75x = 29,217,150,365.06
  5. Step 5: Solve for x
    x = 29,217,150,365.06/108,033.75
  6. Step 6: Final answer
    x = 270,444.66

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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.