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Finding the Third Proportional to 57,218 and 119,666

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Solution

The third proportional to 57,218 and 119,666 is: 250,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218 : 119,666 = 119,666 : x
  2. Step 2: Convert to fraction form
    57,218/119,666 = 119,666/x
  3. Step 3: Cross multiply
    57,218x = 119,666 × 119,666
  4. Step 4: Simplify right side
    57,218x = 14,319,951,556
  5. Step 5: Solve for x
    x = 14,319,951,556/57,218
  6. Step 6: Final answer
    x = 250,270.05

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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.