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Finding the Third Proportional to 127,116 and 274,221

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Solution

The third proportional to 127,116 and 274,221 is: 591,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116 : 274,221 = 274,221 : x
  2. Step 2: Convert to fraction form
    127,116/274,221 = 274,221/x
  3. Step 3: Cross multiply
    127,116x = 274,221 × 274,221
  4. Step 4: Simplify right side
    127,116x = 75,197,156,841
  5. Step 5: Solve for x
    x = 75,197,156,841/127,116
  6. Step 6: Final answer
    x = 591,563.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.