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Finding the Third Proportional to 79,812 and 118,174

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Solution

The third proportional to 79,812 and 118,174 is: 174,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,812 : 118,174 = 118,174 : x
  2. Step 2: Convert to fraction form
    79,812/118,174 = 118,174/x
  3. Step 3: Cross multiply
    79,812x = 118,174 × 118,174
  4. Step 4: Simplify right side
    79,812x = 13,965,094,276
  5. Step 5: Solve for x
    x = 13,965,094,276/79,812
  6. Step 6: Final answer
    x = 174,974.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.