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Finding the Third Proportional to 65,984.63 and 143,880.75

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Solution

The third proportional to 65,984.63 and 143,880.75 is: 313,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,984.63 : 143,880.75 = 143,880.75 : x
  2. Step 2: Convert to fraction form
    65,984.63/143,880.75 = 143,880.75/x
  3. Step 3: Cross multiply
    65,984.63x = 143,880.75 × 143,880.75
  4. Step 4: Simplify right side
    65,984.63x = 20,701,670,220.56
  5. Step 5: Solve for x
    x = 20,701,670,220.56/65,984.63
  6. Step 6: Final answer
    x = 313,734.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.