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Finding the Third Proportional to 84,684.75 and 123,846.75

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Solution

The third proportional to 84,684.75 and 123,846.75 is: 181,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684.75 : 123,846.75 = 123,846.75 : x
  2. Step 2: Convert to fraction form
    84,684.75/123,846.75 = 123,846.75/x
  3. Step 3: Cross multiply
    84,684.75x = 123,846.75 × 123,846.75
  4. Step 4: Simplify right side
    84,684.75x = 15,338,017,485.56
  5. Step 5: Solve for x
    x = 15,338,017,485.56/84,684.75
  6. Step 6: Final answer
    x = 181,119.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.