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Finding the Third Proportional to 46,034 and 101,896

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Solution

The third proportional to 46,034 and 101,896 is: 225,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,034 : 101,896 = 101,896 : x
  2. Step 2: Convert to fraction form
    46,034/101,896 = 101,896/x
  3. Step 3: Cross multiply
    46,034x = 101,896 × 101,896
  4. Step 4: Simplify right side
    46,034x = 10,382,794,816
  5. Step 5: Solve for x
    x = 10,382,794,816/46,034
  6. Step 6: Final answer
    x = 225,546.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.