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Finding the Third Proportional to 46,732 and 101,912

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Solution

The third proportional to 46,732 and 101,912 is: 222,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,732 : 101,912 = 101,912 : x
  2. Step 2: Convert to fraction form
    46,732/101,912 = 101,912/x
  3. Step 3: Cross multiply
    46,732x = 101,912 × 101,912
  4. Step 4: Simplify right side
    46,732x = 10,386,055,744
  5. Step 5: Solve for x
    x = 10,386,055,744/46,732
  6. Step 6: Final answer
    x = 222,247.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.