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Finding the Third Proportional to 76,773 and 161,949

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Solution

The third proportional to 76,773 and 161,949 is: 341,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,773 : 161,949 = 161,949 : x
  2. Step 2: Convert to fraction form
    76,773/161,949 = 161,949/x
  3. Step 3: Cross multiply
    76,773x = 161,949 × 161,949
  4. Step 4: Simplify right side
    76,773x = 26,227,478,601
  5. Step 5: Solve for x
    x = 26,227,478,601/76,773
  6. Step 6: Final answer
    x = 341,623.73

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.