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Finding the Third Proportional to 116,919 and 171,212.25

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Solution

The third proportional to 116,919 and 171,212.25 is: 250,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,919 : 171,212.25 = 171,212.25 : x
  2. Step 2: Convert to fraction form
    116,919/171,212.25 = 171,212.25/x
  3. Step 3: Cross multiply
    116,919x = 171,212.25 × 171,212.25
  4. Step 4: Simplify right side
    116,919x = 29,313,634,550.06
  5. Step 5: Solve for x
    x = 29,313,634,550.06/116,919
  6. Step 6: Final answer
    x = 250,717.46

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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.