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Finding the Third Proportional to 59,961 and 86,627

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Solution

The third proportional to 59,961 and 86,627 is: 125,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,961 : 86,627 = 86,627 : x
  2. Step 2: Convert to fraction form
    59,961/86,627 = 86,627/x
  3. Step 3: Cross multiply
    59,961x = 86,627 × 86,627
  4. Step 4: Simplify right side
    59,961x = 7,504,237,129
  5. Step 5: Solve for x
    x = 7,504,237,129/59,961
  6. Step 6: Final answer
    x = 125,151.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.