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Finding the Third Proportional to 54,970 and 119,783

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Solution

The third proportional to 54,970 and 119,783 is: 261,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970 : 119,783 = 119,783 : x
  2. Step 2: Convert to fraction form
    54,970/119,783 = 119,783/x
  3. Step 3: Cross multiply
    54,970x = 119,783 × 119,783
  4. Step 4: Simplify right side
    54,970x = 14,347,967,089
  5. Step 5: Solve for x
    x = 14,347,967,089/54,970
  6. Step 6: Final answer
    x = 261,014.50

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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.