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Finding the Third Proportional to 68,227 and 147,550

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Solution

The third proportional to 68,227 and 147,550 is: 319,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,227 : 147,550 = 147,550 : x
  2. Step 2: Convert to fraction form
    68,227/147,550 = 147,550/x
  3. Step 3: Cross multiply
    68,227x = 147,550 × 147,550
  4. Step 4: Simplify right side
    68,227x = 21,771,002,500
  5. Step 5: Solve for x
    x = 21,771,002,500/68,227
  6. Step 6: Final answer
    x = 319,096.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.