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Finding the Third Proportional to 76,185 and 114,205

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Solution

The third proportional to 76,185 and 114,205 is: 171,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,185 : 114,205 = 114,205 : x
  2. Step 2: Convert to fraction form
    76,185/114,205 = 114,205/x
  3. Step 3: Cross multiply
    76,185x = 114,205 × 114,205
  4. Step 4: Simplify right side
    76,185x = 13,042,782,025
  5. Step 5: Solve for x
    x = 13,042,782,025/76,185
  6. Step 6: Final answer
    x = 171,198.82

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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.