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Finding the Third Proportional to 90,825.75 and 157,290.75

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Solution

The third proportional to 90,825.75 and 157,290.75 is: 272,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,825.75 : 157,290.75 = 157,290.75 : x
  2. Step 2: Convert to fraction form
    90,825.75/157,290.75 = 157,290.75/x
  3. Step 3: Cross multiply
    90,825.75x = 157,290.75 × 157,290.75
  4. Step 4: Simplify right side
    90,825.75x = 24,740,380,035.56
  5. Step 5: Solve for x
    x = 24,740,380,035.56/90,825.75
  6. Step 6: Final answer
    x = 272,393.90

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.