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Finding the Third Proportional to 104,521.22 and 154,321.45

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Solution

The third proportional to 104,521.22 and 154,321.45 is: 227,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,521.22 : 154,321.45 = 154,321.45 : x
  2. Step 2: Convert to fraction form
    104,521.22/154,321.45 = 154,321.45/x
  3. Step 3: Cross multiply
    104,521.22x = 154,321.45 × 154,321.45
  4. Step 4: Simplify right side
    104,521.22x = 23,815,110,894.61
  5. Step 5: Solve for x
    x = 23,815,110,894.61/104,521.22
  6. Step 6: Final answer
    x = 227,849.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.