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Finding the Third Proportional to 117,903 and 166,669.50

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Solution

The third proportional to 117,903 and 166,669.50 is: 235,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,903 : 166,669.50 = 166,669.50 : x
  2. Step 2: Convert to fraction form
    117,903/166,669.50 = 166,669.50/x
  3. Step 3: Cross multiply
    117,903x = 166,669.50 × 166,669.50
  4. Step 4: Simplify right side
    117,903x = 27,778,722,230.25
  5. Step 5: Solve for x
    x = 27,778,722,230.25/117,903
  6. Step 6: Final answer
    x = 235,606.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.