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Finding the Third Proportional to 49,271 and 104,424

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Solution

The third proportional to 49,271 and 104,424 is: 221,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271 : 104,424 = 104,424 : x
  2. Step 2: Convert to fraction form
    49,271/104,424 = 104,424/x
  3. Step 3: Cross multiply
    49,271x = 104,424 × 104,424
  4. Step 4: Simplify right side
    49,271x = 10,904,371,776
  5. Step 5: Solve for x
    x = 10,904,371,776/49,271
  6. Step 6: Final answer
    x = 221,314.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.