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Finding the Third Proportional to 103,938 and 167,391

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Solution

The third proportional to 103,938 and 167,391 is: 269,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,938 : 167,391 = 167,391 : x
  2. Step 2: Convert to fraction form
    103,938/167,391 = 167,391/x
  3. Step 3: Cross multiply
    103,938x = 167,391 × 167,391
  4. Step 4: Simplify right side
    103,938x = 28,019,746,881
  5. Step 5: Solve for x
    x = 28,019,746,881/103,938
  6. Step 6: Final answer
    x = 269,581.36

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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.