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Finding the Third Proportional to 127,740 and 277,214

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Solution

The third proportional to 127,740 and 277,214 is: 601,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,740 : 277,214 = 277,214 : x
  2. Step 2: Convert to fraction form
    127,740/277,214 = 277,214/x
  3. Step 3: Cross multiply
    127,740x = 277,214 × 277,214
  4. Step 4: Simplify right side
    127,740x = 76,847,601,796
  5. Step 5: Solve for x
    x = 76,847,601,796/127,740
  6. Step 6: Final answer
    x = 601,593.88

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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.