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Finding the Third Proportional to 36,270 and 75,820

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Solution

The third proportional to 36,270 and 75,820 is: 158,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,270 : 75,820 = 75,820 : x
  2. Step 2: Convert to fraction form
    36,270/75,820 = 75,820/x
  3. Step 3: Cross multiply
    36,270x = 75,820 × 75,820
  4. Step 4: Simplify right side
    36,270x = 5,748,672,400
  5. Step 5: Solve for x
    x = 5,748,672,400/36,270
  6. Step 6: Final answer
    x = 158,496.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.