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Finding the Third Proportional to 47,265.75 and 90,987.75

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Solution

The third proportional to 47,265.75 and 90,987.75 is: 175,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,265.75 : 90,987.75 = 90,987.75 : x
  2. Step 2: Convert to fraction form
    47,265.75/90,987.75 = 90,987.75/x
  3. Step 3: Cross multiply
    47,265.75x = 90,987.75 × 90,987.75
  4. Step 4: Simplify right side
    47,265.75x = 8,278,770,650.06
  5. Step 5: Solve for x
    x = 8,278,770,650.06/47,265.75
  6. Step 6: Final answer
    x = 175,153.69

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.