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Finding the Third Proportional to 71,381.25 and 100,389.38

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Solution

The third proportional to 71,381.25 and 100,389.38 is: 141,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,381.25 : 100,389.38 = 100,389.38 : x
  2. Step 2: Convert to fraction form
    71,381.25/100,389.38 = 100,389.38/x
  3. Step 3: Cross multiply
    71,381.25x = 100,389.38 × 100,389.38
  4. Step 4: Simplify right side
    71,381.25x = 10,078,026,612.89
  5. Step 5: Solve for x
    x = 10,078,026,612.89/71,381.25
  6. Step 6: Final answer
    x = 141,185.91

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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.