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Finding the Third Proportional to 50,902.88 and 103,173.75

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Solution

The third proportional to 50,902.88 and 103,173.75 is: 209,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.88 : 103,173.75 = 103,173.75 : x
  2. Step 2: Convert to fraction form
    50,902.88/103,173.75 = 103,173.75/x
  3. Step 3: Cross multiply
    50,902.88x = 103,173.75 × 103,173.75
  4. Step 4: Simplify right side
    50,902.88x = 10,644,822,689.06
  5. Step 5: Solve for x
    x = 10,644,822,689.06/50,902.88
  6. Step 6: Final answer
    x = 209,120.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.