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Finding the Third Proportional to 80,243.44 and 124,182.56

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Solution

The third proportional to 80,243.44 and 124,182.56 is: 192,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,243.44 : 124,182.56 = 124,182.56 : x
  2. Step 2: Convert to fraction form
    80,243.44/124,182.56 = 124,182.56/x
  3. Step 3: Cross multiply
    80,243.44x = 124,182.56 × 124,182.56
  4. Step 4: Simplify right side
    80,243.44x = 15,421,308,829.07
  5. Step 5: Solve for x
    x = 15,421,308,829.07/80,243.44
  6. Step 6: Final answer
    x = 192,181.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.