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Finding the Third Proportional to 76,940.44 and 115,102.69

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Solution

The third proportional to 76,940.44 and 115,102.69 is: 172,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,940.44 : 115,102.69 = 115,102.69 : x
  2. Step 2: Convert to fraction form
    76,940.44/115,102.69 = 115,102.69/x
  3. Step 3: Cross multiply
    76,940.44x = 115,102.69 × 115,102.69
  4. Step 4: Simplify right side
    76,940.44x = 13,248,628,669.72
  5. Step 5: Solve for x
    x = 13,248,628,669.72/76,940.44
  6. Step 6: Final answer
    x = 172,193.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.