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Finding the Third Proportional to 49,263 and 102,029.25

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Solution

The third proportional to 49,263 and 102,029.25 is: 211,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,263 : 102,029.25 = 102,029.25 : x
  2. Step 2: Convert to fraction form
    49,263/102,029.25 = 102,029.25/x
  3. Step 3: Cross multiply
    49,263x = 102,029.25 × 102,029.25
  4. Step 4: Simplify right side
    49,263x = 10,409,967,855.56
  5. Step 5: Solve for x
    x = 10,409,967,855.56/49,263
  6. Step 6: Final answer
    x = 211,314.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.