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Finding the Third Proportional to 58,833 and 128,601

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Solution

The third proportional to 58,833 and 128,601 is: 281,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,833 : 128,601 = 128,601 : x
  2. Step 2: Convert to fraction form
    58,833/128,601 = 128,601/x
  3. Step 3: Cross multiply
    58,833x = 128,601 × 128,601
  4. Step 4: Simplify right side
    58,833x = 16,538,217,201
  5. Step 5: Solve for x
    x = 16,538,217,201/58,833
  6. Step 6: Final answer
    x = 281,104.43

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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.