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Finding the Third Proportional to 59,291 and 139,961

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Solution

The third proportional to 59,291 and 139,961 is: 330,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,291 : 139,961 = 139,961 : x
  2. Step 2: Convert to fraction form
    59,291/139,961 = 139,961/x
  3. Step 3: Cross multiply
    59,291x = 139,961 × 139,961
  4. Step 4: Simplify right side
    59,291x = 19,589,081,521
  5. Step 5: Solve for x
    x = 19,589,081,521/59,291
  6. Step 6: Final answer
    x = 330,388.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.