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Finding the Third Proportional to 48,738.38 and 101,175.75

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Solution

The third proportional to 48,738.38 and 101,175.75 is: 210,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738.38 : 101,175.75 = 101,175.75 : x
  2. Step 2: Convert to fraction form
    48,738.38/101,175.75 = 101,175.75/x
  3. Step 3: Cross multiply
    48,738.38x = 101,175.75 × 101,175.75
  4. Step 4: Simplify right side
    48,738.38x = 10,236,532,388.06
  5. Step 5: Solve for x
    x = 10,236,532,388.06/48,738.38
  6. Step 6: Final answer
    x = 210,030.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.