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Finding the Third Proportional to 100,471 and 140,473

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Solution

The third proportional to 100,471 and 140,473 is: 196,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471 : 140,473 = 140,473 : x
  2. Step 2: Convert to fraction form
    100,471/140,473 = 140,473/x
  3. Step 3: Cross multiply
    100,471x = 140,473 × 140,473
  4. Step 4: Simplify right side
    100,471x = 19,732,663,729
  5. Step 5: Solve for x
    x = 19,732,663,729/100,471
  6. Step 6: Final answer
    x = 196,401.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.