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Finding the Third Proportional to 76,149 and 111,625

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Solution

The third proportional to 76,149 and 111,625 is: 163,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,149 : 111,625 = 111,625 : x
  2. Step 2: Convert to fraction form
    76,149/111,625 = 111,625/x
  3. Step 3: Cross multiply
    76,149x = 111,625 × 111,625
  4. Step 4: Simplify right side
    76,149x = 12,460,140,625
  5. Step 5: Solve for x
    x = 12,460,140,625/76,149
  6. Step 6: Final answer
    x = 163,628.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.