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Finding the Third Proportional to 59,276 and 129,204

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Solution

The third proportional to 59,276 and 129,204 is: 281,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,276 : 129,204 = 129,204 : x
  2. Step 2: Convert to fraction form
    59,276/129,204 = 129,204/x
  3. Step 3: Cross multiply
    59,276x = 129,204 × 129,204
  4. Step 4: Simplify right side
    59,276x = 16,693,673,616
  5. Step 5: Solve for x
    x = 16,693,673,616/59,276
  6. Step 6: Final answer
    x = 281,626.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.