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Finding the Third Proportional to 62,511 and 127,343

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Solution

The third proportional to 62,511 and 127,343 is: 259,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,511 : 127,343 = 127,343 : x
  2. Step 2: Convert to fraction form
    62,511/127,343 = 127,343/x
  3. Step 3: Cross multiply
    62,511x = 127,343 × 127,343
  4. Step 4: Simplify right side
    62,511x = 16,216,239,649
  5. Step 5: Solve for x
    x = 16,216,239,649/62,511
  6. Step 6: Final answer
    x = 259,414.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.