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Finding the Third Proportional to 45,486 and 105,099.75

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Solution

The third proportional to 45,486 and 105,099.75 is: 242,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,486 : 105,099.75 = 105,099.75 : x
  2. Step 2: Convert to fraction form
    45,486/105,099.75 = 105,099.75/x
  3. Step 3: Cross multiply
    45,486x = 105,099.75 × 105,099.75
  4. Step 4: Simplify right side
    45,486x = 11,045,957,450.06
  5. Step 5: Solve for x
    x = 11,045,957,450.06/45,486
  6. Step 6: Final answer
    x = 242,843.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.