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Finding the Third Proportional to 49,448 and 108,724

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Solution

The third proportional to 49,448 and 108,724 is: 239,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,448 : 108,724 = 108,724 : x
  2. Step 2: Convert to fraction form
    49,448/108,724 = 108,724/x
  3. Step 3: Cross multiply
    49,448x = 108,724 × 108,724
  4. Step 4: Simplify right side
    49,448x = 11,820,908,176
  5. Step 5: Solve for x
    x = 11,820,908,176/49,448
  6. Step 6: Final answer
    x = 239,057.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.