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Finding the Third Proportional to 123,284 and 195,963

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Solution

The third proportional to 123,284 and 195,963 is: 311,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,284 : 195,963 = 195,963 : x
  2. Step 2: Convert to fraction form
    123,284/195,963 = 195,963/x
  3. Step 3: Cross multiply
    123,284x = 195,963 × 195,963
  4. Step 4: Simplify right side
    123,284x = 38,401,497,369
  5. Step 5: Solve for x
    x = 38,401,497,369/123,284
  6. Step 6: Final answer
    x = 311,488.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.