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Finding the Third Proportional to 67,047.75 and 146,898

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Solution

The third proportional to 67,047.75 and 146,898 is: 321,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.75 : 146,898 = 146,898 : x
  2. Step 2: Convert to fraction form
    67,047.75/146,898 = 146,898/x
  3. Step 3: Cross multiply
    67,047.75x = 146,898 × 146,898
  4. Step 4: Simplify right side
    67,047.75x = 21,579,022,404
  5. Step 5: Solve for x
    x = 21,579,022,404/67,047.75
  6. Step 6: Final answer
    x = 321,845.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.