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Finding the Third Proportional to 103,939.50 and 167,385

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Solution

The third proportional to 103,939.50 and 167,385 is: 269,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,939.50 : 167,385 = 167,385 : x
  2. Step 2: Convert to fraction form
    103,939.50/167,385 = 167,385/x
  3. Step 3: Cross multiply
    103,939.50x = 167,385 × 167,385
  4. Step 4: Simplify right side
    103,939.50x = 28,017,738,225
  5. Step 5: Solve for x
    x = 28,017,738,225/103,939.50
  6. Step 6: Final answer
    x = 269,558.14

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.