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Finding the Third Proportional to 64,863 and 141,081

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Solution

The third proportional to 64,863 and 141,081 is: 306,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,863 : 141,081 = 141,081 : x
  2. Step 2: Convert to fraction form
    64,863/141,081 = 141,081/x
  3. Step 3: Cross multiply
    64,863x = 141,081 × 141,081
  4. Step 4: Simplify right side
    64,863x = 19,903,848,561
  5. Step 5: Solve for x
    x = 19,903,848,561/64,863
  6. Step 6: Final answer
    x = 306,859.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.