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Finding the Third Proportional to 49,274 and 111,701

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Solution

The third proportional to 49,274 and 111,701 is: 253,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,274 : 111,701 = 111,701 : x
  2. Step 2: Convert to fraction form
    49,274/111,701 = 111,701/x
  3. Step 3: Cross multiply
    49,274x = 111,701 × 111,701
  4. Step 4: Simplify right side
    49,274x = 12,477,113,401
  5. Step 5: Solve for x
    x = 12,477,113,401/49,274
  6. Step 6: Final answer
    x = 253,219.01

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.