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Finding the Third Proportional to 98,638 and 154,530

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Solution

The third proportional to 98,638 and 154,530 is: 242,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,638 : 154,530 = 154,530 : x
  2. Step 2: Convert to fraction form
    98,638/154,530 = 154,530/x
  3. Step 3: Cross multiply
    98,638x = 154,530 × 154,530
  4. Step 4: Simplify right side
    98,638x = 23,879,520,900
  5. Step 5: Solve for x
    x = 23,879,520,900/98,638
  6. Step 6: Final answer
    x = 242,092.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.