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Finding the Third Proportional to 76,206 and 116,505

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Solution

The third proportional to 76,206 and 116,505 is: 178,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206 : 116,505 = 116,505 : x
  2. Step 2: Convert to fraction form
    76,206/116,505 = 116,505/x
  3. Step 3: Cross multiply
    76,206x = 116,505 × 116,505
  4. Step 4: Simplify right side
    76,206x = 13,573,415,025
  5. Step 5: Solve for x
    x = 13,573,415,025/76,206
  6. Step 6: Final answer
    x = 178,114.78

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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.