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Finding the Third Proportional to 71,343 and 151,848

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Solution

The third proportional to 71,343 and 151,848 is: 323,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343 : 151,848 = 151,848 : x
  2. Step 2: Convert to fraction form
    71,343/151,848 = 151,848/x
  3. Step 3: Cross multiply
    71,343x = 151,848 × 151,848
  4. Step 4: Simplify right side
    71,343x = 23,057,815,104
  5. Step 5: Solve for x
    x = 23,057,815,104/71,343
  6. Step 6: Final answer
    x = 323,196.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.