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Finding the Third Proportional to 64,914 and 141,843

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Solution

The third proportional to 64,914 and 141,843 is: 309,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,914 : 141,843 = 141,843 : x
  2. Step 2: Convert to fraction form
    64,914/141,843 = 141,843/x
  3. Step 3: Cross multiply
    64,914x = 141,843 × 141,843
  4. Step 4: Simplify right side
    64,914x = 20,119,436,649
  5. Step 5: Solve for x
    x = 20,119,436,649/64,914
  6. Step 6: Final answer
    x = 309,939.87

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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.