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Finding the Third Proportional to 96,162 and 174,963.75

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Solution

The third proportional to 96,162 and 174,963.75 is: 318,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,162 : 174,963.75 = 174,963.75 : x
  2. Step 2: Convert to fraction form
    96,162/174,963.75 = 174,963.75/x
  3. Step 3: Cross multiply
    96,162x = 174,963.75 × 174,963.75
  4. Step 4: Simplify right side
    96,162x = 30,612,313,814.06
  5. Step 5: Solve for x
    x = 30,612,313,814.06/96,162
  6. Step 6: Final answer
    x = 318,341.07

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.