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Finding the Third Proportional to 68,246 and 104,530

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Solution

The third proportional to 68,246 and 104,530 is: 160,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,246 : 104,530 = 104,530 : x
  2. Step 2: Convert to fraction form
    68,246/104,530 = 104,530/x
  3. Step 3: Cross multiply
    68,246x = 104,530 × 104,530
  4. Step 4: Simplify right side
    68,246x = 10,926,520,900
  5. Step 5: Solve for x
    x = 10,926,520,900/68,246
  6. Step 6: Final answer
    x = 160,104.93

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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.