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Finding the Third Proportional to 70,087 and 100,747

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Solution

The third proportional to 70,087 and 100,747 is: 144,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,087 : 100,747 = 100,747 : x
  2. Step 2: Convert to fraction form
    70,087/100,747 = 100,747/x
  3. Step 3: Cross multiply
    70,087x = 100,747 × 100,747
  4. Step 4: Simplify right side
    70,087x = 10,149,958,009
  5. Step 5: Solve for x
    x = 10,149,958,009/70,087
  6. Step 6: Final answer
    x = 144,819.41

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.