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Finding the Third Proportional to 59,266 and 129,601

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Solution

The third proportional to 59,266 and 129,601 is: 283,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,266 : 129,601 = 129,601 : x
  2. Step 2: Convert to fraction form
    59,266/129,601 = 129,601/x
  3. Step 3: Cross multiply
    59,266x = 129,601 × 129,601
  4. Step 4: Simplify right side
    59,266x = 16,796,419,201
  5. Step 5: Solve for x
    x = 16,796,419,201/59,266
  6. Step 6: Final answer
    x = 283,407.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.