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Finding the Third Proportional to 46,244 and 101,080

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Solution

The third proportional to 46,244 and 101,080 is: 220,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,244 : 101,080 = 101,080 : x
  2. Step 2: Convert to fraction form
    46,244/101,080 = 101,080/x
  3. Step 3: Cross multiply
    46,244x = 101,080 × 101,080
  4. Step 4: Simplify right side
    46,244x = 10,217,166,400
  5. Step 5: Solve for x
    x = 10,217,166,400/46,244
  6. Step 6: Final answer
    x = 220,940.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.