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Finding the Third Proportional to 74,568 and 149,080

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Solution

The third proportional to 74,568 and 149,080 is: 298,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,568 : 149,080 = 149,080 : x
  2. Step 2: Convert to fraction form
    74,568/149,080 = 149,080/x
  3. Step 3: Cross multiply
    74,568x = 149,080 × 149,080
  4. Step 4: Simplify right side
    74,568x = 22,224,846,400
  5. Step 5: Solve for x
    x = 22,224,846,400/74,568
  6. Step 6: Final answer
    x = 298,048.04

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.