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Finding the Third Proportional to 54,550 and 119,510

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Solution

The third proportional to 54,550 and 119,510 is: 261,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,550 : 119,510 = 119,510 : x
  2. Step 2: Convert to fraction form
    54,550/119,510 = 119,510/x
  3. Step 3: Cross multiply
    54,550x = 119,510 × 119,510
  4. Step 4: Simplify right side
    54,550x = 14,282,640,100
  5. Step 5: Solve for x
    x = 14,282,640,100/54,550
  6. Step 6: Final answer
    x = 261,826.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.