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Finding the Third Proportional to 89,730 and 188,757

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Solution

The third proportional to 89,730 and 188,757 is: 397,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 188,757 = 188,757 : x
  2. Step 2: Convert to fraction form
    89,730/188,757 = 188,757/x
  3. Step 3: Cross multiply
    89,730x = 188,757 × 188,757
  4. Step 4: Simplify right side
    89,730x = 35,629,205,049
  5. Step 5: Solve for x
    x = 35,629,205,049/89,730
  6. Step 6: Final answer
    x = 397,071.27

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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.