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Finding the Third Proportional to 67,672 and 99,296

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Solution

The third proportional to 67,672 and 99,296 is: 145,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,672 : 99,296 = 99,296 : x
  2. Step 2: Convert to fraction form
    67,672/99,296 = 99,296/x
  3. Step 3: Cross multiply
    67,672x = 99,296 × 99,296
  4. Step 4: Simplify right side
    67,672x = 9,859,695,616
  5. Step 5: Solve for x
    x = 9,859,695,616/67,672
  6. Step 6: Final answer
    x = 145,698.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.