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Finding the Third Proportional to 58,257 and 127,098

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Solution

The third proportional to 58,257 and 127,098 is: 277,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,257 : 127,098 = 127,098 : x
  2. Step 2: Convert to fraction form
    58,257/127,098 = 127,098/x
  3. Step 3: Cross multiply
    58,257x = 127,098 × 127,098
  4. Step 4: Simplify right side
    58,257x = 16,153,901,604
  5. Step 5: Solve for x
    x = 16,153,901,604/58,257
  6. Step 6: Final answer
    x = 277,286.88

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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.