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Finding the Third Proportional to 52,646 and 68,305

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Solution

The third proportional to 52,646 and 68,305 is: 88,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646 : 68,305 = 68,305 : x
  2. Step 2: Convert to fraction form
    52,646/68,305 = 68,305/x
  3. Step 3: Cross multiply
    52,646x = 68,305 × 68,305
  4. Step 4: Simplify right side
    52,646x = 4,665,573,025
  5. Step 5: Solve for x
    x = 4,665,573,025/52,646
  6. Step 6: Final answer
    x = 88,621.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.