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Finding the Third Proportional to 49,576 and 102,584

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Solution

The third proportional to 49,576 and 102,584 is: 212,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,576 : 102,584 = 102,584 : x
  2. Step 2: Convert to fraction form
    49,576/102,584 = 102,584/x
  3. Step 3: Cross multiply
    49,576x = 102,584 × 102,584
  4. Step 4: Simplify right side
    49,576x = 10,523,477,056
  5. Step 5: Solve for x
    x = 10,523,477,056/49,576
  6. Step 6: Final answer
    x = 212,269.59

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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.