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Finding the Third Proportional to 48,100 and 103,112

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Solution

The third proportional to 48,100 and 103,112 is: 221,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,100 : 103,112 = 103,112 : x
  2. Step 2: Convert to fraction form
    48,100/103,112 = 103,112/x
  3. Step 3: Cross multiply
    48,100x = 103,112 × 103,112
  4. Step 4: Simplify right side
    48,100x = 10,632,084,544
  5. Step 5: Solve for x
    x = 10,632,084,544/48,100
  6. Step 6: Final answer
    x = 221,041.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.