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Finding the Third Proportional to 45,296 and 65,243

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Solution

The third proportional to 45,296 and 65,243 is: 93,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296 : 65,243 = 65,243 : x
  2. Step 2: Convert to fraction form
    45,296/65,243 = 65,243/x
  3. Step 3: Cross multiply
    45,296x = 65,243 × 65,243
  4. Step 4: Simplify right side
    45,296x = 4,256,649,049
  5. Step 5: Solve for x
    x = 4,256,649,049/45,296
  6. Step 6: Final answer
    x = 93,974.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.