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Finding the Third Proportional to 126,409.50 and 271,581

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Solution

The third proportional to 126,409.50 and 271,581 is: 583,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,409.50 : 271,581 = 271,581 : x
  2. Step 2: Convert to fraction form
    126,409.50/271,581 = 271,581/x
  3. Step 3: Cross multiply
    126,409.50x = 271,581 × 271,581
  4. Step 4: Simplify right side
    126,409.50x = 73,756,239,561
  5. Step 5: Solve for x
    x = 73,756,239,561/126,409.50
  6. Step 6: Final answer
    x = 583,470.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.