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Finding the Third Proportional to 96,892 and 130,204

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Solution

The third proportional to 96,892 and 130,204 is: 174,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,892 : 130,204 = 130,204 : x
  2. Step 2: Convert to fraction form
    96,892/130,204 = 130,204/x
  3. Step 3: Cross multiply
    96,892x = 130,204 × 130,204
  4. Step 4: Simplify right side
    96,892x = 16,953,081,616
  5. Step 5: Solve for x
    x = 16,953,081,616/96,892
  6. Step 6: Final answer
    x = 174,968.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.