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Finding the Third Proportional to 49,400 and 106,524

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Solution

The third proportional to 49,400 and 106,524 is: 229,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400 : 106,524 = 106,524 : x
  2. Step 2: Convert to fraction form
    49,400/106,524 = 106,524/x
  3. Step 3: Cross multiply
    49,400x = 106,524 × 106,524
  4. Step 4: Simplify right side
    49,400x = 11,347,362,576
  5. Step 5: Solve for x
    x = 11,347,362,576/49,400
  6. Step 6: Final answer
    x = 229,703.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.