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Finding the Third Proportional to 63,198 and 145,935

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Solution

The third proportional to 63,198 and 145,935 is: 336,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,198 : 145,935 = 145,935 : x
  2. Step 2: Convert to fraction form
    63,198/145,935 = 145,935/x
  3. Step 3: Cross multiply
    63,198x = 145,935 × 145,935
  4. Step 4: Simplify right side
    63,198x = 21,297,024,225
  5. Step 5: Solve for x
    x = 21,297,024,225/63,198
  6. Step 6: Final answer
    x = 336,988.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.