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Finding the Third Proportional to 58,857 and 127,536

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Solution

The third proportional to 58,857 and 127,536 is: 276,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,857 : 127,536 = 127,536 : x
  2. Step 2: Convert to fraction form
    58,857/127,536 = 127,536/x
  3. Step 3: Cross multiply
    58,857x = 127,536 × 127,536
  4. Step 4: Simplify right side
    58,857x = 16,265,431,296
  5. Step 5: Solve for x
    x = 16,265,431,296/58,857
  6. Step 6: Final answer
    x = 276,355.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.