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Finding the Third Proportional to 68,543 and 158,663

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Solution

The third proportional to 68,543 and 158,663 is: 367,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,543 : 158,663 = 158,663 : x
  2. Step 2: Convert to fraction form
    68,543/158,663 = 158,663/x
  3. Step 3: Cross multiply
    68,543x = 158,663 × 158,663
  4. Step 4: Simplify right side
    68,543x = 25,173,947,569
  5. Step 5: Solve for x
    x = 25,173,947,569/68,543
  6. Step 6: Final answer
    x = 367,272.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.