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Finding the Third Proportional to 112,900.92 and 154,815.05

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Solution

The third proportional to 112,900.92 and 154,815.05 is: 212,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,900.92 : 154,815.05 = 154,815.05 : x
  2. Step 2: Convert to fraction form
    112,900.92/154,815.05 = 154,815.05/x
  3. Step 3: Cross multiply
    112,900.92x = 154,815.05 × 154,815.05
  4. Step 4: Simplify right side
    112,900.92x = 23,967,698,738.91
  5. Step 5: Solve for x
    x = 23,967,698,738.91/112,900.92
  6. Step 6: Final answer
    x = 212,289.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.