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Finding the Third Proportional to 57,480 and 120,192

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Solution

The third proportional to 57,480 and 120,192 is: 251,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,480 : 120,192 = 120,192 : x
  2. Step 2: Convert to fraction form
    57,480/120,192 = 120,192/x
  3. Step 3: Cross multiply
    57,480x = 120,192 × 120,192
  4. Step 4: Simplify right side
    57,480x = 14,446,116,864
  5. Step 5: Solve for x
    x = 14,446,116,864/57,480
  6. Step 6: Final answer
    x = 251,324.23

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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.