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Finding the Third Proportional to 53,838 and 82,641

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Solution

The third proportional to 53,838 and 82,641 is: 126,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838 : 82,641 = 82,641 : x
  2. Step 2: Convert to fraction form
    53,838/82,641 = 82,641/x
  3. Step 3: Cross multiply
    53,838x = 82,641 × 82,641
  4. Step 4: Simplify right side
    53,838x = 6,829,534,881
  5. Step 5: Solve for x
    x = 6,829,534,881/53,838
  6. Step 6: Final answer
    x = 126,853.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.