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Finding the Third Proportional to 123,179.75 and 185,318.75

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Solution

The third proportional to 123,179.75 and 185,318.75 is: 278,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,179.75 : 185,318.75 = 185,318.75 : x
  2. Step 2: Convert to fraction form
    123,179.75/185,318.75 = 185,318.75/x
  3. Step 3: Cross multiply
    123,179.75x = 185,318.75 × 185,318.75
  4. Step 4: Simplify right side
    123,179.75x = 34,343,039,101.56
  5. Step 5: Solve for x
    x = 34,343,039,101.56/123,179.75
  6. Step 6: Final answer
    x = 278,804.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.