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Finding the Third Proportional to 127,212 and 276,294

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Solution

The third proportional to 127,212 and 276,294 is: 600,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,212 : 276,294 = 276,294 : x
  2. Step 2: Convert to fraction form
    127,212/276,294 = 276,294/x
  3. Step 3: Cross multiply
    127,212x = 276,294 × 276,294
  4. Step 4: Simplify right side
    127,212x = 76,338,374,436
  5. Step 5: Solve for x
    x = 76,338,374,436/127,212
  6. Step 6: Final answer
    x = 600,087.84

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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.