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Finding the Third Proportional to 76,186 and 116,328

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Solution

The third proportional to 76,186 and 116,328 is: 177,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,186 : 116,328 = 116,328 : x
  2. Step 2: Convert to fraction form
    76,186/116,328 = 116,328/x
  3. Step 3: Cross multiply
    76,186x = 116,328 × 116,328
  4. Step 4: Simplify right side
    76,186x = 13,532,203,584
  5. Step 5: Solve for x
    x = 13,532,203,584/76,186
  6. Step 6: Final answer
    x = 177,620.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.