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Finding the Third Proportional to 54,766 and 84,567

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Solution

The third proportional to 54,766 and 84,567 is: 130,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766 : 84,567 = 84,567 : x
  2. Step 2: Convert to fraction form
    54,766/84,567 = 84,567/x
  3. Step 3: Cross multiply
    54,766x = 84,567 × 84,567
  4. Step 4: Simplify right side
    54,766x = 7,151,577,489
  5. Step 5: Solve for x
    x = 7,151,577,489/54,766
  6. Step 6: Final answer
    x = 130,584.26

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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.