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Finding the Third Proportional to 47,975 and 75,255

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Solution

The third proportional to 47,975 and 75,255 is: 118,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975 : 75,255 = 75,255 : x
  2. Step 2: Convert to fraction form
    47,975/75,255 = 75,255/x
  3. Step 3: Cross multiply
    47,975x = 75,255 × 75,255
  4. Step 4: Simplify right side
    47,975x = 5,663,315,025
  5. Step 5: Solve for x
    x = 5,663,315,025/47,975
  6. Step 6: Final answer
    x = 118,047.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.