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Finding the Third Proportional to 129,827 and 269,973

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Solution

The third proportional to 129,827 and 269,973 is: 561,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,827 : 269,973 = 269,973 : x
  2. Step 2: Convert to fraction form
    129,827/269,973 = 269,973/x
  3. Step 3: Cross multiply
    129,827x = 269,973 × 269,973
  4. Step 4: Simplify right side
    129,827x = 72,885,420,729
  5. Step 5: Solve for x
    x = 72,885,420,729/129,827
  6. Step 6: Final answer
    x = 561,404.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.