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Finding the Third Proportional to 49,322 and 76,285

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Solution

The third proportional to 49,322 and 76,285 is: 117,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 76,285 = 76,285 : x
  2. Step 2: Convert to fraction form
    49,322/76,285 = 76,285/x
  3. Step 3: Cross multiply
    49,322x = 76,285 × 76,285
  4. Step 4: Simplify right side
    49,322x = 5,819,401,225
  5. Step 5: Solve for x
    x = 5,819,401,225/49,322
  6. Step 6: Final answer
    x = 117,987.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.