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Finding the Third Proportional to 73,203.75 and 148,290.75

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Solution

The third proportional to 73,203.75 and 148,290.75 is: 300,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,203.75 : 148,290.75 = 148,290.75 : x
  2. Step 2: Convert to fraction form
    73,203.75/148,290.75 = 148,290.75/x
  3. Step 3: Cross multiply
    73,203.75x = 148,290.75 × 148,290.75
  4. Step 4: Simplify right side
    73,203.75x = 21,990,146,535.56
  5. Step 5: Solve for x
    x = 21,990,146,535.56/73,203.75
  6. Step 6: Final answer
    x = 300,396.45

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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.