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Finding the Third Proportional to 68,954 and 153,508

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Solution

The third proportional to 68,954 and 153,508 is: 341,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,954 : 153,508 = 153,508 : x
  2. Step 2: Convert to fraction form
    68,954/153,508 = 153,508/x
  3. Step 3: Cross multiply
    68,954x = 153,508 × 153,508
  4. Step 4: Simplify right side
    68,954x = 23,564,706,064
  5. Step 5: Solve for x
    x = 23,564,706,064/68,954
  6. Step 6: Final answer
    x = 341,745.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.