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Finding the Third Proportional to 62,273 and 128,978

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Solution

The third proportional to 62,273 and 128,978 is: 267,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,273 : 128,978 = 128,978 : x
  2. Step 2: Convert to fraction form
    62,273/128,978 = 128,978/x
  3. Step 3: Cross multiply
    62,273x = 128,978 × 128,978
  4. Step 4: Simplify right side
    62,273x = 16,635,324,484
  5. Step 5: Solve for x
    x = 16,635,324,484/62,273
  6. Step 6: Final answer
    x = 267,135.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.