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Finding the Third Proportional to 60,357 and 127,977

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Solution

The third proportional to 60,357 and 127,977 is: 271,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,357 : 127,977 = 127,977 : x
  2. Step 2: Convert to fraction form
    60,357/127,977 = 127,977/x
  3. Step 3: Cross multiply
    60,357x = 127,977 × 127,977
  4. Step 4: Simplify right side
    60,357x = 16,378,112,529
  5. Step 5: Solve for x
    x = 16,378,112,529/60,357
  6. Step 6: Final answer
    x = 271,353.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.