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Finding the Third Proportional to 49,400 and 106,576

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Solution

The third proportional to 49,400 and 106,576 is: 229,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400 : 106,576 = 106,576 : x
  2. Step 2: Convert to fraction form
    49,400/106,576 = 106,576/x
  3. Step 3: Cross multiply
    49,400x = 106,576 × 106,576
  4. Step 4: Simplify right side
    49,400x = 11,358,443,776
  5. Step 5: Solve for x
    x = 11,358,443,776/49,400
  6. Step 6: Final answer
    x = 229,928.01

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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.