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Finding the Third Proportional to 36,226 and 74,780

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Solution

The third proportional to 36,226 and 74,780 is: 154,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,226 : 74,780 = 74,780 : x
  2. Step 2: Convert to fraction form
    36,226/74,780 = 74,780/x
  3. Step 3: Cross multiply
    36,226x = 74,780 × 74,780
  4. Step 4: Simplify right side
    36,226x = 5,592,048,400
  5. Step 5: Solve for x
    x = 5,592,048,400/36,226
  6. Step 6: Final answer
    x = 154,365.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.