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Finding the Third Proportional to 68,623 and 144,625

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Solution

The third proportional to 68,623 and 144,625 is: 304,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,623 : 144,625 = 144,625 : x
  2. Step 2: Convert to fraction form
    68,623/144,625 = 144,625/x
  3. Step 3: Cross multiply
    68,623x = 144,625 × 144,625
  4. Step 4: Simplify right side
    68,623x = 20,916,390,625
  5. Step 5: Solve for x
    x = 20,916,390,625/68,623
  6. Step 6: Final answer
    x = 304,801.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.