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Finding the Third Proportional to 44,530 and 105,493

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Solution

The third proportional to 44,530 and 105,493 is: 249,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,530 : 105,493 = 105,493 : x
  2. Step 2: Convert to fraction form
    44,530/105,493 = 105,493/x
  3. Step 3: Cross multiply
    44,530x = 105,493 × 105,493
  4. Step 4: Simplify right side
    44,530x = 11,128,773,049
  5. Step 5: Solve for x
    x = 11,128,773,049/44,530
  6. Step 6: Final answer
    x = 249,916.30

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.