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Finding the Third Proportional to 48,971 and 107,170

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Solution

The third proportional to 48,971 and 107,170 is: 234,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971 : 107,170 = 107,170 : x
  2. Step 2: Convert to fraction form
    48,971/107,170 = 107,170/x
  3. Step 3: Cross multiply
    48,971x = 107,170 × 107,170
  4. Step 4: Simplify right side
    48,971x = 11,485,408,900
  5. Step 5: Solve for x
    x = 11,485,408,900/48,971
  6. Step 6: Final answer
    x = 234,534.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.