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Finding the Third Proportional to 63,954 and 139,554

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Solution

The third proportional to 63,954 and 139,554 is: 304,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,954 : 139,554 = 139,554 : x
  2. Step 2: Convert to fraction form
    63,954/139,554 = 139,554/x
  3. Step 3: Cross multiply
    63,954x = 139,554 × 139,554
  4. Step 4: Simplify right side
    63,954x = 19,475,318,916
  5. Step 5: Solve for x
    x = 19,475,318,916/63,954
  6. Step 6: Final answer
    x = 304,520.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.