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Finding the Third Proportional to 132,024.75 and 285,093.25

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Solution

The third proportional to 132,024.75 and 285,093.25 is: 615,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024.75 : 285,093.25 = 285,093.25 : x
  2. Step 2: Convert to fraction form
    132,024.75/285,093.25 = 285,093.25/x
  3. Step 3: Cross multiply
    132,024.75x = 285,093.25 × 285,093.25
  4. Step 4: Simplify right side
    132,024.75x = 81,278,161,195.56
  5. Step 5: Solve for x
    x = 81,278,161,195.56/132,024.75
  6. Step 6: Final answer
    x = 615,628.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.