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Finding the Third Proportional to 64,514 and 136,856

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Solution

The third proportional to 64,514 and 136,856 is: 290,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514 : 136,856 = 136,856 : x
  2. Step 2: Convert to fraction form
    64,514/136,856 = 136,856/x
  3. Step 3: Cross multiply
    64,514x = 136,856 × 136,856
  4. Step 4: Simplify right side
    64,514x = 18,729,564,736
  5. Step 5: Solve for x
    x = 18,729,564,736/64,514
  6. Step 6: Final answer
    x = 290,317.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.