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Finding the Third Proportional to 54,567 and 76,842

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Solution

The third proportional to 54,567 and 76,842 is: 108,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,567 : 76,842 = 76,842 : x
  2. Step 2: Convert to fraction form
    54,567/76,842 = 76,842/x
  3. Step 3: Cross multiply
    54,567x = 76,842 × 76,842
  4. Step 4: Simplify right side
    54,567x = 5,904,692,964
  5. Step 5: Solve for x
    x = 5,904,692,964/54,567
  6. Step 6: Final answer
    x = 108,209.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.