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Finding the Third Proportional to 51,249 and 105,049.50

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Solution

The third proportional to 51,249 and 105,049.50 is: 215,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,249 : 105,049.50 = 105,049.50 : x
  2. Step 2: Convert to fraction form
    51,249/105,049.50 = 105,049.50/x
  3. Step 3: Cross multiply
    51,249x = 105,049.50 × 105,049.50
  4. Step 4: Simplify right side
    51,249x = 11,035,397,450.25
  5. Step 5: Solve for x
    x = 11,035,397,450.25/51,249
  6. Step 6: Final answer
    x = 215,329.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.