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Finding the Third Proportional to 71,424 and 104,923

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Solution

The third proportional to 71,424 and 104,923 is: 154,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424 : 104,923 = 104,923 : x
  2. Step 2: Convert to fraction form
    71,424/104,923 = 104,923/x
  3. Step 3: Cross multiply
    71,424x = 104,923 × 104,923
  4. Step 4: Simplify right side
    71,424x = 11,008,835,929
  5. Step 5: Solve for x
    x = 11,008,835,929/71,424
  6. Step 6: Final answer
    x = 154,133.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.