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Finding the Third Proportional to 67,328 and 145,799

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Solution

The third proportional to 67,328 and 145,799 is: 315,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,328 : 145,799 = 145,799 : x
  2. Step 2: Convert to fraction form
    67,328/145,799 = 145,799/x
  3. Step 3: Cross multiply
    67,328x = 145,799 × 145,799
  4. Step 4: Simplify right side
    67,328x = 21,257,348,401
  5. Step 5: Solve for x
    x = 21,257,348,401/67,328
  6. Step 6: Final answer
    x = 315,728.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.