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Finding the Third Proportional to 86,055.25 and 123,943.63

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Solution

The third proportional to 86,055.25 and 123,943.63 is: 178,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,055.25 : 123,943.63 = 123,943.63 : x
  2. Step 2: Convert to fraction form
    86,055.25/123,943.63 = 123,943.63/x
  3. Step 3: Cross multiply
    86,055.25x = 123,943.63 × 123,943.63
  4. Step 4: Simplify right side
    86,055.25x = 15,362,022,178.14
  5. Step 5: Solve for x
    x = 15,362,022,178.14/86,055.25
  6. Step 6: Final answer
    x = 178,513.48

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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.