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Finding the Third Proportional to 45,869 and 101,053

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Solution

The third proportional to 45,869 and 101,053 is: 222,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,869 : 101,053 = 101,053 : x
  2. Step 2: Convert to fraction form
    45,869/101,053 = 101,053/x
  3. Step 3: Cross multiply
    45,869x = 101,053 × 101,053
  4. Step 4: Simplify right side
    45,869x = 10,211,708,809
  5. Step 5: Solve for x
    x = 10,211,708,809/45,869
  6. Step 6: Final answer
    x = 222,627.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.