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Finding the Third Proportional to 135,060.75 and 234,650.25

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Solution

The third proportional to 135,060.75 and 234,650.25 is: 407,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,060.75 : 234,650.25 = 234,650.25 : x
  2. Step 2: Convert to fraction form
    135,060.75/234,650.25 = 234,650.25/x
  3. Step 3: Cross multiply
    135,060.75x = 234,650.25 × 234,650.25
  4. Step 4: Simplify right side
    135,060.75x = 55,060,739,825.06
  5. Step 5: Solve for x
    x = 55,060,739,825.06/135,060.75
  6. Step 6: Final answer
    x = 407,673.88

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.