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Finding the Third Proportional to 120,576 and 252,168

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Solution

The third proportional to 120,576 and 252,168 is: 527,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,576 : 252,168 = 252,168 : x
  2. Step 2: Convert to fraction form
    120,576/252,168 = 252,168/x
  3. Step 3: Cross multiply
    120,576x = 252,168 × 252,168
  4. Step 4: Simplify right side
    120,576x = 63,588,700,224
  5. Step 5: Solve for x
    x = 63,588,700,224/120,576
  6. Step 6: Final answer
    x = 527,374.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.