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Finding the Third Proportional to 65,886 and 144,893

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Solution

The third proportional to 65,886 and 144,893 is: 318,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,886 : 144,893 = 144,893 : x
  2. Step 2: Convert to fraction form
    65,886/144,893 = 144,893/x
  3. Step 3: Cross multiply
    65,886x = 144,893 × 144,893
  4. Step 4: Simplify right side
    65,886x = 20,993,981,449
  5. Step 5: Solve for x
    x = 20,993,981,449/65,886
  6. Step 6: Final answer
    x = 318,641.01

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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.