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Finding the Third Proportional to 107,919 and 163,383.75

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Solution

The third proportional to 107,919 and 163,383.75 is: 247,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,919 : 163,383.75 = 163,383.75 : x
  2. Step 2: Convert to fraction form
    107,919/163,383.75 = 163,383.75/x
  3. Step 3: Cross multiply
    107,919x = 163,383.75 × 163,383.75
  4. Step 4: Simplify right side
    107,919x = 26,694,249,764.06
  5. Step 5: Solve for x
    x = 26,694,249,764.06/107,919
  6. Step 6: Final answer
    x = 247,354.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.