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Finding the Third Proportional to 36,270 and 84,114

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Solution

The third proportional to 36,270 and 84,114 is: 195,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,270 : 84,114 = 84,114 : x
  2. Step 2: Convert to fraction form
    36,270/84,114 = 84,114/x
  3. Step 3: Cross multiply
    36,270x = 84,114 × 84,114
  4. Step 4: Simplify right side
    36,270x = 7,075,164,996
  5. Step 5: Solve for x
    x = 7,075,164,996/36,270
  6. Step 6: Final answer
    x = 195,069.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.