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Finding the Third Proportional to 78,176.25 and 159,117.75

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Solution

The third proportional to 78,176.25 and 159,117.75 is: 323,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,176.25 : 159,117.75 = 159,117.75 : x
  2. Step 2: Convert to fraction form
    78,176.25/159,117.75 = 159,117.75/x
  3. Step 3: Cross multiply
    78,176.25x = 159,117.75 × 159,117.75
  4. Step 4: Simplify right side
    78,176.25x = 25,318,458,365.06
  5. Step 5: Solve for x
    x = 25,318,458,365.06/78,176.25
  6. Step 6: Final answer
    x = 323,863.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.