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Finding the Third Proportional to 127,188 and 274,056

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Solution

The third proportional to 127,188 and 274,056 is: 590,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,188 : 274,056 = 274,056 : x
  2. Step 2: Convert to fraction form
    127,188/274,056 = 274,056/x
  3. Step 3: Cross multiply
    127,188x = 274,056 × 274,056
  4. Step 4: Simplify right side
    127,188x = 75,106,691,136
  5. Step 5: Solve for x
    x = 75,106,691,136/127,188
  6. Step 6: Final answer
    x = 590,517.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.