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Finding the Third Proportional to 36,174 and 78,546

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Solution

The third proportional to 36,174 and 78,546 is: 170,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,174 : 78,546 = 78,546 : x
  2. Step 2: Convert to fraction form
    36,174/78,546 = 78,546/x
  3. Step 3: Cross multiply
    36,174x = 78,546 × 78,546
  4. Step 4: Simplify right side
    36,174x = 6,169,474,116
  5. Step 5: Solve for x
    x = 6,169,474,116/36,174
  6. Step 6: Final answer
    x = 170,549.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.