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Finding the Third Proportional to 122,712 and 193,956

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Solution

The third proportional to 122,712 and 193,956 is: 306,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,712 : 193,956 = 193,956 : x
  2. Step 2: Convert to fraction form
    122,712/193,956 = 193,956/x
  3. Step 3: Cross multiply
    122,712x = 193,956 × 193,956
  4. Step 4: Simplify right side
    122,712x = 37,618,929,936
  5. Step 5: Solve for x
    x = 37,618,929,936/122,712
  6. Step 6: Final answer
    x = 306,562.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.