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Finding the Third Proportional to 68,799 and 140,514

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Solution

The third proportional to 68,799 and 140,514 is: 286,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,799 : 140,514 = 140,514 : x
  2. Step 2: Convert to fraction form
    68,799/140,514 = 140,514/x
  3. Step 3: Cross multiply
    68,799x = 140,514 × 140,514
  4. Step 4: Simplify right side
    68,799x = 19,744,184,196
  5. Step 5: Solve for x
    x = 19,744,184,196/68,799
  6. Step 6: Final answer
    x = 286,983.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.