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Finding the Third Proportional to 68,248 and 104,546

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Solution

The third proportional to 68,248 and 104,546 is: 160,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,248 : 104,546 = 104,546 : x
  2. Step 2: Convert to fraction form
    68,248/104,546 = 104,546/x
  3. Step 3: Cross multiply
    68,248x = 104,546 × 104,546
  4. Step 4: Simplify right side
    68,248x = 10,929,866,116
  5. Step 5: Solve for x
    x = 10,929,866,116/68,248
  6. Step 6: Final answer
    x = 160,149.25

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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.