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Finding the Third Proportional to 49,260 and 102,024

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Solution

The third proportional to 49,260 and 102,024 is: 211,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,260 : 102,024 = 102,024 : x
  2. Step 2: Convert to fraction form
    49,260/102,024 = 102,024/x
  3. Step 3: Cross multiply
    49,260x = 102,024 × 102,024
  4. Step 4: Simplify right side
    49,260x = 10,408,896,576
  5. Step 5: Solve for x
    x = 10,408,896,576/49,260
  6. Step 6: Final answer
    x = 211,305.25

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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.