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Finding the Third Proportional to 126,041 and 189,061.50

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Solution

The third proportional to 126,041 and 189,061.50 is: 283,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,041 : 189,061.50 = 189,061.50 : x
  2. Step 2: Convert to fraction form
    126,041/189,061.50 = 189,061.50/x
  3. Step 3: Cross multiply
    126,041x = 189,061.50 × 189,061.50
  4. Step 4: Simplify right side
    126,041x = 35,744,250,782.25
  5. Step 5: Solve for x
    x = 35,744,250,782.25/126,041
  6. Step 6: Final answer
    x = 283,592.25

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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.