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Finding the Third Proportional to 49,646 and 108,028

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Solution

The third proportional to 49,646 and 108,028 is: 235,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,646 : 108,028 = 108,028 : x
  2. Step 2: Convert to fraction form
    49,646/108,028 = 108,028/x
  3. Step 3: Cross multiply
    49,646x = 108,028 × 108,028
  4. Step 4: Simplify right side
    49,646x = 11,670,048,784
  5. Step 5: Solve for x
    x = 11,670,048,784/49,646
  6. Step 6: Final answer
    x = 235,065.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.