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Finding the Third Proportional to 126,136.13 and 189,735.75

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Solution

The third proportional to 126,136.13 and 189,735.75 is: 285,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,136.13 : 189,735.75 = 189,735.75 : x
  2. Step 2: Convert to fraction form
    126,136.13/189,735.75 = 189,735.75/x
  3. Step 3: Cross multiply
    126,136.13x = 189,735.75 × 189,735.75
  4. Step 4: Simplify right side
    126,136.13x = 35,999,654,828.06
  5. Step 5: Solve for x
    x = 35,999,654,828.06/126,136.13
  6. Step 6: Final answer
    x = 285,403.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.