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Finding the Third Proportional to 59,540 and 127,266

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Solution

The third proportional to 59,540 and 127,266 is: 272,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,540 : 127,266 = 127,266 : x
  2. Step 2: Convert to fraction form
    59,540/127,266 = 127,266/x
  3. Step 3: Cross multiply
    59,540x = 127,266 × 127,266
  4. Step 4: Simplify right side
    59,540x = 16,196,634,756
  5. Step 5: Solve for x
    x = 16,196,634,756/59,540
  6. Step 6: Final answer
    x = 272,029.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.