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Finding the Third Proportional to 119,361 and 162,201

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Solution

The third proportional to 119,361 and 162,201 is: 220,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,361 : 162,201 = 162,201 : x
  2. Step 2: Convert to fraction form
    119,361/162,201 = 162,201/x
  3. Step 3: Cross multiply
    119,361x = 162,201 × 162,201
  4. Step 4: Simplify right side
    119,361x = 26,309,164,401
  5. Step 5: Solve for x
    x = 26,309,164,401/119,361
  6. Step 6: Final answer
    x = 220,416.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.