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Finding the Third Proportional to 47,980 and 75,100

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Solution

The third proportional to 47,980 and 75,100 is: 117,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980 : 75,100 = 75,100 : x
  2. Step 2: Convert to fraction form
    47,980/75,100 = 75,100/x
  3. Step 3: Cross multiply
    47,980x = 75,100 × 75,100
  4. Step 4: Simplify right side
    47,980x = 5,640,010,000
  5. Step 5: Solve for x
    x = 5,640,010,000/47,980
  6. Step 6: Final answer
    x = 117,549.19

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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.