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Finding the Third Proportional to 54,736 and 84,920

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Solution

The third proportional to 54,736 and 84,920 is: 131,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736 : 84,920 = 84,920 : x
  2. Step 2: Convert to fraction form
    54,736/84,920 = 84,920/x
  3. Step 3: Cross multiply
    54,736x = 84,920 × 84,920
  4. Step 4: Simplify right side
    54,736x = 7,211,406,400
  5. Step 5: Solve for x
    x = 7,211,406,400/54,736
  6. Step 6: Final answer
    x = 131,748.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.