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Finding the Third Proportional to 54,732 and 83,756

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Solution

The third proportional to 54,732 and 83,756 is: 128,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,732 : 83,756 = 83,756 : x
  2. Step 2: Convert to fraction form
    54,732/83,756 = 83,756/x
  3. Step 3: Cross multiply
    54,732x = 83,756 × 83,756
  4. Step 4: Simplify right side
    54,732x = 7,015,067,536
  5. Step 5: Solve for x
    x = 7,015,067,536/54,732
  6. Step 6: Final answer
    x = 128,171.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.