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Finding the Third Proportional to 62,744 and 131,641

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Solution

The third proportional to 62,744 and 131,641 is: 276,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,744 : 131,641 = 131,641 : x
  2. Step 2: Convert to fraction form
    62,744/131,641 = 131,641/x
  3. Step 3: Cross multiply
    62,744x = 131,641 × 131,641
  4. Step 4: Simplify right side
    62,744x = 17,329,352,881
  5. Step 5: Solve for x
    x = 17,329,352,881/62,744
  6. Step 6: Final answer
    x = 276,191.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.