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Finding the Third Proportional to 108,091.13 and 171,759.75

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Solution

The third proportional to 108,091.13 and 171,759.75 is: 272,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,091.13 : 171,759.75 = 171,759.75 : x
  2. Step 2: Convert to fraction form
    108,091.13/171,759.75 = 171,759.75/x
  3. Step 3: Cross multiply
    108,091.13x = 171,759.75 × 171,759.75
  4. Step 4: Simplify right side
    108,091.13x = 29,501,411,720.06
  5. Step 5: Solve for x
    x = 29,501,411,720.06/108,091.13
  6. Step 6: Final answer
    x = 272,930.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.