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Finding the Third Proportional to 82,154 and 168,201

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Solution

The third proportional to 82,154 and 168,201 is: 344,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154 : 168,201 = 168,201 : x
  2. Step 2: Convert to fraction form
    82,154/168,201 = 168,201/x
  3. Step 3: Cross multiply
    82,154x = 168,201 × 168,201
  4. Step 4: Simplify right side
    82,154x = 28,291,576,401
  5. Step 5: Solve for x
    x = 28,291,576,401/82,154
  6. Step 6: Final answer
    x = 344,372.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.