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Finding the Third Proportional to 76,793 and 120,205.63

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Solution

The third proportional to 76,793 and 120,205.63 is: 188,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,793 : 120,205.63 = 120,205.63 : x
  2. Step 2: Convert to fraction form
    76,793/120,205.63 = 120,205.63/x
  3. Step 3: Cross multiply
    76,793x = 120,205.63 × 120,205.63
  4. Step 4: Simplify right side
    76,793x = 14,449,392,281.64
  5. Step 5: Solve for x
    x = 14,449,392,281.64/76,793
  6. Step 6: Final answer
    x = 188,160.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.