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Finding the Third Proportional to 111,323 and 166,985

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Solution

The third proportional to 111,323 and 166,985 is: 250,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,323 : 166,985 = 166,985 : x
  2. Step 2: Convert to fraction form
    111,323/166,985 = 166,985/x
  3. Step 3: Cross multiply
    111,323x = 166,985 × 166,985
  4. Step 4: Simplify right side
    111,323x = 27,883,990,225
  5. Step 5: Solve for x
    x = 27,883,990,225/111,323
  6. Step 6: Final answer
    x = 250,478.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.