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Finding the Third Proportional to 77,365.50 and 164,847

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Solution

The third proportional to 77,365.50 and 164,847 is: 351,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,365.50 : 164,847 = 164,847 : x
  2. Step 2: Convert to fraction form
    77,365.50/164,847 = 164,847/x
  3. Step 3: Cross multiply
    77,365.50x = 164,847 × 164,847
  4. Step 4: Simplify right side
    77,365.50x = 27,174,533,409
  5. Step 5: Solve for x
    x = 27,174,533,409/77,365.50
  6. Step 6: Final answer
    x = 351,248.73

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.