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Finding the Third Proportional to 71,667 and 100,237

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Solution

The third proportional to 71,667 and 100,237 is: 140,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,667 : 100,237 = 100,237 : x
  2. Step 2: Convert to fraction form
    71,667/100,237 = 100,237/x
  3. Step 3: Cross multiply
    71,667x = 100,237 × 100,237
  4. Step 4: Simplify right side
    71,667x = 10,047,456,169
  5. Step 5: Solve for x
    x = 10,047,456,169/71,667
  6. Step 6: Final answer
    x = 140,196.41

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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.