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Finding the Third Proportional to 57,264 and 120,960

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Solution

The third proportional to 57,264 and 120,960 is: 255,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264 : 120,960 = 120,960 : x
  2. Step 2: Convert to fraction form
    57,264/120,960 = 120,960/x
  3. Step 3: Cross multiply
    57,264x = 120,960 × 120,960
  4. Step 4: Simplify right side
    57,264x = 14,631,321,600
  5. Step 5: Solve for x
    x = 14,631,321,600/57,264
  6. Step 6: Final answer
    x = 255,506.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.