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Finding the Third Proportional to 133,948 and 182,410

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Solution

The third proportional to 133,948 and 182,410 is: 248,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,948 : 182,410 = 182,410 : x
  2. Step 2: Convert to fraction form
    133,948/182,410 = 182,410/x
  3. Step 3: Cross multiply
    133,948x = 182,410 × 182,410
  4. Step 4: Simplify right side
    133,948x = 33,273,408,100
  5. Step 5: Solve for x
    x = 33,273,408,100/133,948
  6. Step 6: Final answer
    x = 248,405.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.