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Finding the Third Proportional to 68,743 and 103,297

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Solution

The third proportional to 68,743 and 103,297 is: 155,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,743 : 103,297 = 103,297 : x
  2. Step 2: Convert to fraction form
    68,743/103,297 = 103,297/x
  3. Step 3: Cross multiply
    68,743x = 103,297 × 103,297
  4. Step 4: Simplify right side
    68,743x = 10,670,270,209
  5. Step 5: Solve for x
    x = 10,670,270,209/68,743
  6. Step 6: Final answer
    x = 155,219.73

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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.