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Finding the Third Proportional to 69,514 and 164,062

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Solution

The third proportional to 69,514 and 164,062 is: 387,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,514 : 164,062 = 164,062 : x
  2. Step 2: Convert to fraction form
    69,514/164,062 = 164,062/x
  3. Step 3: Cross multiply
    69,514x = 164,062 × 164,062
  4. Step 4: Simplify right side
    69,514x = 26,916,339,844
  5. Step 5: Solve for x
    x = 26,916,339,844/69,514
  6. Step 6: Final answer
    x = 387,207.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.