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Finding the Third Proportional to 68,175 and 104,643

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Solution

The third proportional to 68,175 and 104,643 is: 160,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,175 : 104,643 = 104,643 : x
  2. Step 2: Convert to fraction form
    68,175/104,643 = 104,643/x
  3. Step 3: Cross multiply
    68,175x = 104,643 × 104,643
  4. Step 4: Simplify right side
    68,175x = 10,950,157,449
  5. Step 5: Solve for x
    x = 10,950,157,449/68,175
  6. Step 6: Final answer
    x = 160,618.37

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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.