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Finding the Third Proportional to 70,848 and 108,504

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Solution

The third proportional to 70,848 and 108,504 is: 166,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 108,504 = 108,504 : x
  2. Step 2: Convert to fraction form
    70,848/108,504 = 108,504/x
  3. Step 3: Cross multiply
    70,848x = 108,504 × 108,504
  4. Step 4: Simplify right side
    70,848x = 11,773,118,016
  5. Step 5: Solve for x
    x = 11,773,118,016/70,848
  6. Step 6: Final answer
    x = 166,174.32

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