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Finding the Third Proportional to 80,395.50 and 118,269

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Solution

The third proportional to 80,395.50 and 118,269 is: 173,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,395.50 : 118,269 = 118,269 : x
  2. Step 2: Convert to fraction form
    80,395.50/118,269 = 118,269/x
  3. Step 3: Cross multiply
    80,395.50x = 118,269 × 118,269
  4. Step 4: Simplify right side
    80,395.50x = 13,987,556,361
  5. Step 5: Solve for x
    x = 13,987,556,361/80,395.50
  6. Step 6: Final answer
    x = 173,984.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.