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Finding the Third Proportional to 86,062 and 123,954

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Solution

The third proportional to 86,062 and 123,954 is: 178,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,062 : 123,954 = 123,954 : x
  2. Step 2: Convert to fraction form
    86,062/123,954 = 123,954/x
  3. Step 3: Cross multiply
    86,062x = 123,954 × 123,954
  4. Step 4: Simplify right side
    86,062x = 15,364,594,116
  5. Step 5: Solve for x
    x = 15,364,594,116/86,062
  6. Step 6: Final answer
    x = 178,529.36

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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.