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Finding the Third Proportional to 64,514 and 101,379

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Solution

The third proportional to 64,514 and 101,379 is: 159,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514 : 101,379 = 101,379 : x
  2. Step 2: Convert to fraction form
    64,514/101,379 = 101,379/x
  3. Step 3: Cross multiply
    64,514x = 101,379 × 101,379
  4. Step 4: Simplify right side
    64,514x = 10,277,701,641
  5. Step 5: Solve for x
    x = 10,277,701,641/64,514
  6. Step 6: Final answer
    x = 159,309.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.