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Finding the Third Proportional to 53,744 and 84,739

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Solution

The third proportional to 53,744 and 84,739 is: 133,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,744 : 84,739 = 84,739 : x
  2. Step 2: Convert to fraction form
    53,744/84,739 = 84,739/x
  3. Step 3: Cross multiply
    53,744x = 84,739 × 84,739
  4. Step 4: Simplify right side
    53,744x = 7,180,698,121
  5. Step 5: Solve for x
    x = 7,180,698,121/53,744
  6. Step 6: Final answer
    x = 133,609.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.