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Finding the Third Proportional to 63,978 and 132,054

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Solution

The third proportional to 63,978 and 132,054 is: 272,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,978 : 132,054 = 132,054 : x
  2. Step 2: Convert to fraction form
    63,978/132,054 = 132,054/x
  3. Step 3: Cross multiply
    63,978x = 132,054 × 132,054
  4. Step 4: Simplify right side
    63,978x = 17,438,258,916
  5. Step 5: Solve for x
    x = 17,438,258,916/63,978
  6. Step 6: Final answer
    x = 272,566.49

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.