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Finding the Third Proportional to 86,055.75 and 123,945.75

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Solution

The third proportional to 86,055.75 and 123,945.75 is: 178,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,055.75 : 123,945.75 = 123,945.75 : x
  2. Step 2: Convert to fraction form
    86,055.75/123,945.75 = 123,945.75/x
  3. Step 3: Cross multiply
    86,055.75x = 123,945.75 × 123,945.75
  4. Step 4: Simplify right side
    86,055.75x = 15,362,548,943.06
  5. Step 5: Solve for x
    x = 15,362,548,943.06/86,055.75
  6. Step 6: Final answer
    x = 178,518.56

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Why These Related Problems?

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