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Finding the Third Proportional to 54,600 and 119,382

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Solution

The third proportional to 54,600 and 119,382 is: 261,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,600 : 119,382 = 119,382 : x
  2. Step 2: Convert to fraction form
    54,600/119,382 = 119,382/x
  3. Step 3: Cross multiply
    54,600x = 119,382 × 119,382
  4. Step 4: Simplify right side
    54,600x = 14,252,061,924
  5. Step 5: Solve for x
    x = 14,252,061,924/54,600
  6. Step 6: Final answer
    x = 261,026.78

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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.