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Finding the Third Proportional to 120,174.75 and 183,440.06

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Solution

The third proportional to 120,174.75 and 183,440.06 is: 280,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174.75 : 183,440.06 = 183,440.06 : x
  2. Step 2: Convert to fraction form
    120,174.75/183,440.06 = 183,440.06/x
  3. Step 3: Cross multiply
    120,174.75x = 183,440.06 × 183,440.06
  4. Step 4: Simplify right side
    120,174.75x = 33,650,256,530.00
  5. Step 5: Solve for x
    x = 33,650,256,530.00/120,174.75
  6. Step 6: Final answer
    x = 280,011.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.