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Finding the Third Proportional to 32,765 and 70,201

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Solution

The third proportional to 32,765 and 70,201 is: 150,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765 : 70,201 = 70,201 : x
  2. Step 2: Convert to fraction form
    32,765/70,201 = 70,201/x
  3. Step 3: Cross multiply
    32,765x = 70,201 × 70,201
  4. Step 4: Simplify right side
    32,765x = 4,928,180,401
  5. Step 5: Solve for x
    x = 4,928,180,401/32,765
  6. Step 6: Final answer
    x = 150,409.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.