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Finding the Third Proportional to 72,579.75 and 114,054

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Solution

The third proportional to 72,579.75 and 114,054 is: 179,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,579.75 : 114,054 = 114,054 : x
  2. Step 2: Convert to fraction form
    72,579.75/114,054 = 114,054/x
  3. Step 3: Cross multiply
    72,579.75x = 114,054 × 114,054
  4. Step 4: Simplify right side
    72,579.75x = 13,008,314,916
  5. Step 5: Solve for x
    x = 13,008,314,916/72,579.75
  6. Step 6: Final answer
    x = 179,227.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.