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Finding the Third Proportional to 76,362 and 116,811

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Solution

The third proportional to 76,362 and 116,811 is: 178,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362 : 116,811 = 116,811 : x
  2. Step 2: Convert to fraction form
    76,362/116,811 = 116,811/x
  3. Step 3: Cross multiply
    76,362x = 116,811 × 116,811
  4. Step 4: Simplify right side
    76,362x = 13,644,809,721
  5. Step 5: Solve for x
    x = 13,644,809,721/76,362
  6. Step 6: Final answer
    x = 178,685.86

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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.