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Finding the Third Proportional to 54,830 and 119,576

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Solution

The third proportional to 54,830 and 119,576 is: 260,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,830 : 119,576 = 119,576 : x
  2. Step 2: Convert to fraction form
    54,830/119,576 = 119,576/x
  3. Step 3: Cross multiply
    54,830x = 119,576 × 119,576
  4. Step 4: Simplify right side
    54,830x = 14,298,419,776
  5. Step 5: Solve for x
    x = 14,298,419,776/54,830
  6. Step 6: Final answer
    x = 260,777.31

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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.