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Finding the Third Proportional to 70,562 and 100,299

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Solution

The third proportional to 70,562 and 100,299 is: 142,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,562 : 100,299 = 100,299 : x
  2. Step 2: Convert to fraction form
    70,562/100,299 = 100,299/x
  3. Step 3: Cross multiply
    70,562x = 100,299 × 100,299
  4. Step 4: Simplify right side
    70,562x = 10,059,889,401
  5. Step 5: Solve for x
    x = 10,059,889,401/70,562
  6. Step 6: Final answer
    x = 142,568.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.