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Finding the Third Proportional to 73,903 and 114,667

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Solution

The third proportional to 73,903 and 114,667 is: 177,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,903 : 114,667 = 114,667 : x
  2. Step 2: Convert to fraction form
    73,903/114,667 = 114,667/x
  3. Step 3: Cross multiply
    73,903x = 114,667 × 114,667
  4. Step 4: Simplify right side
    73,903x = 13,148,520,889
  5. Step 5: Solve for x
    x = 13,148,520,889/73,903
  6. Step 6: Final answer
    x = 177,915.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.