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Finding the Third Proportional to 54,680 and 84,296

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Solution

The third proportional to 54,680 and 84,296 is: 129,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,680 : 84,296 = 84,296 : x
  2. Step 2: Convert to fraction form
    54,680/84,296 = 84,296/x
  3. Step 3: Cross multiply
    54,680x = 84,296 × 84,296
  4. Step 4: Simplify right side
    54,680x = 7,105,815,616
  5. Step 5: Solve for x
    x = 7,105,815,616/54,680
  6. Step 6: Final answer
    x = 129,952.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.