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Finding the Third Proportional to 108,697.50 and 171,801

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Solution

The third proportional to 108,697.50 and 171,801 is: 271,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,697.50 : 171,801 = 171,801 : x
  2. Step 2: Convert to fraction form
    108,697.50/171,801 = 171,801/x
  3. Step 3: Cross multiply
    108,697.50x = 171,801 × 171,801
  4. Step 4: Simplify right side
    108,697.50x = 29,515,583,601
  5. Step 5: Solve for x
    x = 29,515,583,601/108,697.50
  6. Step 6: Final answer
    x = 271,538.75

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