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Finding the Third Proportional to 100,038 and 140,697

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Solution

The third proportional to 100,038 and 140,697 is: 197,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038 : 140,697 = 140,697 : x
  2. Step 2: Convert to fraction form
    100,038/140,697 = 140,697/x
  3. Step 3: Cross multiply
    100,038x = 140,697 × 140,697
  4. Step 4: Simplify right side
    100,038x = 19,795,645,809
  5. Step 5: Solve for x
    x = 19,795,645,809/100,038
  6. Step 6: Final answer
    x = 197,881.26

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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.