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Finding the Third Proportional to 64,152 and 141,183

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Solution

The third proportional to 64,152 and 141,183 is: 310,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152 : 141,183 = 141,183 : x
  2. Step 2: Convert to fraction form
    64,152/141,183 = 141,183/x
  3. Step 3: Cross multiply
    64,152x = 141,183 × 141,183
  4. Step 4: Simplify right side
    64,152x = 19,932,639,489
  5. Step 5: Solve for x
    x = 19,932,639,489/64,152
  6. Step 6: Final answer
    x = 310,709.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.