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Finding the Third Proportional to 66,566.81 and 146,027.81

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Solution

The third proportional to 66,566.81 and 146,027.81 is: 320,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566.81 : 146,027.81 = 146,027.81 : x
  2. Step 2: Convert to fraction form
    66,566.81/146,027.81 = 146,027.81/x
  3. Step 3: Cross multiply
    66,566.81x = 146,027.81 × 146,027.81
  4. Step 4: Simplify right side
    66,566.81x = 21,324,122,023.54
  5. Step 5: Solve for x
    x = 21,324,122,023.54/66,566.81
  6. Step 6: Final answer
    x = 320,341.64

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Why These Related Problems?

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