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Finding the Third Proportional to 108,848 and 166,515

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Solution

The third proportional to 108,848 and 166,515 is: 254,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,848 : 166,515 = 166,515 : x
  2. Step 2: Convert to fraction form
    108,848/166,515 = 166,515/x
  3. Step 3: Cross multiply
    108,848x = 166,515 × 166,515
  4. Step 4: Simplify right side
    108,848x = 27,727,245,225
  5. Step 5: Solve for x
    x = 27,727,245,225/108,848
  6. Step 6: Final answer
    x = 254,733.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.