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Finding the Third Proportional to 65,650.50 and 104,216.63

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Solution

The third proportional to 65,650.50 and 104,216.63 is: 165,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650.50 : 104,216.63 = 104,216.63 : x
  2. Step 2: Convert to fraction form
    65,650.50/104,216.63 = 104,216.63/x
  3. Step 3: Cross multiply
    65,650.50x = 104,216.63 × 104,216.63
  4. Step 4: Simplify right side
    65,650.50x = 10,861,104,926.39
  5. Step 5: Solve for x
    x = 10,861,104,926.39/65,650.50
  6. Step 6: Final answer
    x = 165,438.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.