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Finding the Third Proportional to 100,014 and 140,658

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Solution

The third proportional to 100,014 and 140,658 is: 197,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014 : 140,658 = 140,658 : x
  2. Step 2: Convert to fraction form
    100,014/140,658 = 140,658/x
  3. Step 3: Cross multiply
    100,014x = 140,658 × 140,658
  4. Step 4: Simplify right side
    100,014x = 19,784,672,964
  5. Step 5: Solve for x
    x = 19,784,672,964/100,014
  6. Step 6: Final answer
    x = 197,819.03

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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.