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Finding the Third Proportional to 84,277.88 and 181,062.75

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Solution

The third proportional to 84,277.88 and 181,062.75 is: 388,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,277.88 : 181,062.75 = 181,062.75 : x
  2. Step 2: Convert to fraction form
    84,277.88/181,062.75 = 181,062.75/x
  3. Step 3: Cross multiply
    84,277.88x = 181,062.75 × 181,062.75
  4. Step 4: Simplify right side
    84,277.88x = 32,783,719,437.56
  5. Step 5: Solve for x
    x = 32,783,719,437.56/84,277.88
  6. Step 6: Final answer
    x = 388,995.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.