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Finding the Third Proportional to 89,720 and 188,740

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Solution

The third proportional to 89,720 and 188,740 is: 397,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,720 : 188,740 = 188,740 : x
  2. Step 2: Convert to fraction form
    89,720/188,740 = 188,740/x
  3. Step 3: Cross multiply
    89,720x = 188,740 × 188,740
  4. Step 4: Simplify right side
    89,720x = 35,622,787,600
  5. Step 5: Solve for x
    x = 35,622,787,600/89,720
  6. Step 6: Final answer
    x = 397,044.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.