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Finding the Third Proportional to 68,560 and 104,288

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Solution

The third proportional to 68,560 and 104,288 is: 158,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,560 : 104,288 = 104,288 : x
  2. Step 2: Convert to fraction form
    68,560/104,288 = 104,288/x
  3. Step 3: Cross multiply
    68,560x = 104,288 × 104,288
  4. Step 4: Simplify right side
    68,560x = 10,875,986,944
  5. Step 5: Solve for x
    x = 10,875,986,944/68,560
  6. Step 6: Final answer
    x = 158,634.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.