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Finding the Third Proportional to 45,296 and 74,863

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Solution

The third proportional to 45,296 and 74,863 is: 123,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296 : 74,863 = 74,863 : x
  2. Step 2: Convert to fraction form
    45,296/74,863 = 74,863/x
  3. Step 3: Cross multiply
    45,296x = 74,863 × 74,863
  4. Step 4: Simplify right side
    45,296x = 5,604,468,769
  5. Step 5: Solve for x
    x = 5,604,468,769/45,296
  6. Step 6: Final answer
    x = 123,729.88

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.