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Finding the Third Proportional to 108,877.50 and 171,093

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Solution

The third proportional to 108,877.50 and 171,093 is: 268,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,877.50 : 171,093 = 171,093 : x
  2. Step 2: Convert to fraction form
    108,877.50/171,093 = 171,093/x
  3. Step 3: Cross multiply
    108,877.50x = 171,093 × 171,093
  4. Step 4: Simplify right side
    108,877.50x = 29,272,814,649
  5. Step 5: Solve for x
    x = 29,272,814,649/108,877.50
  6. Step 6: Final answer
    x = 268,860.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.