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Finding the Third Proportional to 108,093.50 and 172,678

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Solution

The third proportional to 108,093.50 and 172,678 is: 275,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,093.50 : 172,678 = 172,678 : x
  2. Step 2: Convert to fraction form
    108,093.50/172,678 = 172,678/x
  3. Step 3: Cross multiply
    108,093.50x = 172,678 × 172,678
  4. Step 4: Simplify right side
    108,093.50x = 29,817,691,684
  5. Step 5: Solve for x
    x = 29,817,691,684/108,093.50
  6. Step 6: Final answer
    x = 275,850.92

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.