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Finding the Third Proportional to 71,595 and 107,343

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Solution

The third proportional to 71,595 and 107,343 is: 160,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,595 : 107,343 = 107,343 : x
  2. Step 2: Convert to fraction form
    71,595/107,343 = 107,343/x
  3. Step 3: Cross multiply
    71,595x = 107,343 × 107,343
  4. Step 4: Simplify right side
    71,595x = 11,522,519,649
  5. Step 5: Solve for x
    x = 11,522,519,649/71,595
  6. Step 6: Final answer
    x = 160,940.28

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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.