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Finding the Third Proportional to 46,744 and 101,022

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Solution

The third proportional to 46,744 and 101,022 is: 218,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,744 : 101,022 = 101,022 : x
  2. Step 2: Convert to fraction form
    46,744/101,022 = 101,022/x
  3. Step 3: Cross multiply
    46,744x = 101,022 × 101,022
  4. Step 4: Simplify right side
    46,744x = 10,205,444,484
  5. Step 5: Solve for x
    x = 10,205,444,484/46,744
  6. Step 6: Final answer
    x = 218,326.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.