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Finding the Third Proportional to 57,414 and 119,751

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Solution

The third proportional to 57,414 and 119,751 is: 249,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 119,751 = 119,751 : x
  2. Step 2: Convert to fraction form
    57,414/119,751 = 119,751/x
  3. Step 3: Cross multiply
    57,414x = 119,751 × 119,751
  4. Step 4: Simplify right side
    57,414x = 14,340,302,001
  5. Step 5: Solve for x
    x = 14,340,302,001/57,414
  6. Step 6: Final answer
    x = 249,770.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.