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Finding the Third Proportional to 71,296 and 99,673

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Solution

The third proportional to 71,296 and 99,673 is: 139,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296 : 99,673 = 99,673 : x
  2. Step 2: Convert to fraction form
    71,296/99,673 = 99,673/x
  3. Step 3: Cross multiply
    71,296x = 99,673 × 99,673
  4. Step 4: Simplify right side
    71,296x = 9,934,706,929
  5. Step 5: Solve for x
    x = 9,934,706,929/71,296
  6. Step 6: Final answer
    x = 139,344.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.