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Finding the Third Proportional to 100,043 and 140,701

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Solution

The third proportional to 100,043 and 140,701 is: 197,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,043 : 140,701 = 140,701 : x
  2. Step 2: Convert to fraction form
    100,043/140,701 = 140,701/x
  3. Step 3: Cross multiply
    100,043x = 140,701 × 140,701
  4. Step 4: Simplify right side
    100,043x = 19,796,771,401
  5. Step 5: Solve for x
    x = 19,796,771,401/100,043
  6. Step 6: Final answer
    x = 197,882.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.