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Finding the Third Proportional to 99,872 and 151,852

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Solution

The third proportional to 99,872 and 151,852 is: 230,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872 : 151,852 = 151,852 : x
  2. Step 2: Convert to fraction form
    99,872/151,852 = 151,852/x
  3. Step 3: Cross multiply
    99,872x = 151,852 × 151,852
  4. Step 4: Simplify right side
    99,872x = 23,059,029,904
  5. Step 5: Solve for x
    x = 23,059,029,904/99,872
  6. Step 6: Final answer
    x = 230,885.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.