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Finding the Third Proportional to 68,960 and 100,443

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Solution

The third proportional to 68,960 and 100,443 is: 146,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,960 : 100,443 = 100,443 : x
  2. Step 2: Convert to fraction form
    68,960/100,443 = 100,443/x
  3. Step 3: Cross multiply
    68,960x = 100,443 × 100,443
  4. Step 4: Simplify right side
    68,960x = 10,088,796,249
  5. Step 5: Solve for x
    x = 10,088,796,249/68,960
  6. Step 6: Final answer
    x = 146,299.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.