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Finding the Third Proportional to 122,447 and 179,479

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Solution

The third proportional to 122,447 and 179,479 is: 263,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,447 : 179,479 = 179,479 : x
  2. Step 2: Convert to fraction form
    122,447/179,479 = 179,479/x
  3. Step 3: Cross multiply
    122,447x = 179,479 × 179,479
  4. Step 4: Simplify right side
    122,447x = 32,212,711,441
  5. Step 5: Solve for x
    x = 32,212,711,441/122,447
  6. Step 6: Final answer
    x = 263,074.73

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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.