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Finding the Third Proportional to 45,318 and 105,369

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Solution

The third proportional to 45,318 and 105,369 is: 244,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,318 : 105,369 = 105,369 : x
  2. Step 2: Convert to fraction form
    45,318/105,369 = 105,369/x
  3. Step 3: Cross multiply
    45,318x = 105,369 × 105,369
  4. Step 4: Simplify right side
    45,318x = 11,102,626,161
  5. Step 5: Solve for x
    x = 11,102,626,161/45,318
  6. Step 6: Final answer
    x = 244,993.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.