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Finding the Third Proportional to 53,291 and 84,941

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Solution

The third proportional to 53,291 and 84,941 is: 135,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,291 : 84,941 = 84,941 : x
  2. Step 2: Convert to fraction form
    53,291/84,941 = 84,941/x
  3. Step 3: Cross multiply
    53,291x = 84,941 × 84,941
  4. Step 4: Simplify right side
    53,291x = 7,214,973,481
  5. Step 5: Solve for x
    x = 7,214,973,481/53,291
  6. Step 6: Final answer
    x = 135,388.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.