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Finding the Third Proportional to 53,311.50 and 80,102.25

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Solution

The third proportional to 53,311.50 and 80,102.25 is: 120,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,311.50 : 80,102.25 = 80,102.25 : x
  2. Step 2: Convert to fraction form
    53,311.50/80,102.25 = 80,102.25/x
  3. Step 3: Cross multiply
    53,311.50x = 80,102.25 × 80,102.25
  4. Step 4: Simplify right side
    53,311.50x = 6,416,370,455.06
  5. Step 5: Solve for x
    x = 6,416,370,455.06/53,311.50
  6. Step 6: Final answer
    x = 120,356.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.