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Finding the Third Proportional to 76,499.44 and 111,650.91

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Solution

The third proportional to 76,499.44 and 111,650.91 is: 162,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,499.44 : 111,650.91 = 111,650.91 : x
  2. Step 2: Convert to fraction form
    76,499.44/111,650.91 = 111,650.91/x
  3. Step 3: Cross multiply
    76,499.44x = 111,650.91 × 111,650.91
  4. Step 4: Simplify right side
    76,499.44x = 12,465,924,866.45
  5. Step 5: Solve for x
    x = 12,465,924,866.45/76,499.44
  6. Step 6: Final answer
    x = 162,954.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.