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Finding the Third Proportional to 126,916 and 275,056

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Solution

The third proportional to 126,916 and 275,056 is: 596,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,916 : 275,056 = 275,056 : x
  2. Step 2: Convert to fraction form
    126,916/275,056 = 275,056/x
  3. Step 3: Cross multiply
    126,916x = 275,056 × 275,056
  4. Step 4: Simplify right side
    126,916x = 75,655,803,136
  5. Step 5: Solve for x
    x = 75,655,803,136/126,916
  6. Step 6: Final answer
    x = 596,109.26

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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.