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Finding the Third Proportional to 65,884.50 and 159,243.75

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Solution

The third proportional to 65,884.50 and 159,243.75 is: 384,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.50 : 159,243.75 = 159,243.75 : x
  2. Step 2: Convert to fraction form
    65,884.50/159,243.75 = 159,243.75/x
  3. Step 3: Cross multiply
    65,884.50x = 159,243.75 × 159,243.75
  4. Step 4: Simplify right side
    65,884.50x = 25,358,571,914.06
  5. Step 5: Solve for x
    x = 25,358,571,914.06/65,884.50
  6. Step 6: Final answer
    x = 384,894.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.