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Finding the Third Proportional to 28,168 and 61,201

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Solution

The third proportional to 28,168 and 61,201 is: 132,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,168 : 61,201 = 61,201 : x
  2. Step 2: Convert to fraction form
    28,168/61,201 = 61,201/x
  3. Step 3: Cross multiply
    28,168x = 61,201 × 61,201
  4. Step 4: Simplify right side
    28,168x = 3,745,562,401
  5. Step 5: Solve for x
    x = 3,745,562,401/28,168
  6. Step 6: Final answer
    x = 132,972.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.