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Finding the Third Proportional to 70,852 and 149,701

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Solution

The third proportional to 70,852 and 149,701 is: 316,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852 : 149,701 = 149,701 : x
  2. Step 2: Convert to fraction form
    70,852/149,701 = 149,701/x
  3. Step 3: Cross multiply
    70,852x = 149,701 × 149,701
  4. Step 4: Simplify right side
    70,852x = 22,410,389,401
  5. Step 5: Solve for x
    x = 22,410,389,401/70,852
  6. Step 6: Final answer
    x = 316,298.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.