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Finding the Third Proportional to 44,514 and 103,509

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Solution

The third proportional to 44,514 and 103,509 is: 240,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,514 : 103,509 = 103,509 : x
  2. Step 2: Convert to fraction form
    44,514/103,509 = 103,509/x
  3. Step 3: Cross multiply
    44,514x = 103,509 × 103,509
  4. Step 4: Simplify right side
    44,514x = 10,714,113,081
  5. Step 5: Solve for x
    x = 10,714,113,081/44,514
  6. Step 6: Final answer
    x = 240,690.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.