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Finding the Third Proportional to 68,855 and 145,981

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Solution

The third proportional to 68,855 and 145,981 is: 309,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,855 : 145,981 = 145,981 : x
  2. Step 2: Convert to fraction form
    68,855/145,981 = 145,981/x
  3. Step 3: Cross multiply
    68,855x = 145,981 × 145,981
  4. Step 4: Simplify right side
    68,855x = 21,310,452,361
  5. Step 5: Solve for x
    x = 21,310,452,361/68,855
  6. Step 6: Final answer
    x = 309,497.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.