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Finding the Third Proportional to 64,859 and 141,073

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Solution

The third proportional to 64,859 and 141,073 is: 306,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,859 : 141,073 = 141,073 : x
  2. Step 2: Convert to fraction form
    64,859/141,073 = 141,073/x
  3. Step 3: Cross multiply
    64,859x = 141,073 × 141,073
  4. Step 4: Simplify right side
    64,859x = 19,901,591,329
  5. Step 5: Solve for x
    x = 19,901,591,329/64,859
  6. Step 6: Final answer
    x = 306,843.94

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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.