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Finding the Third Proportional to 126,562.50 and 275,319

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Solution

The third proportional to 126,562.50 and 275,319 is: 598,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,562.50 : 275,319 = 275,319 : x
  2. Step 2: Convert to fraction form
    126,562.50/275,319 = 275,319/x
  3. Step 3: Cross multiply
    126,562.50x = 275,319 × 275,319
  4. Step 4: Simplify right side
    126,562.50x = 75,800,551,761
  5. Step 5: Solve for x
    x = 75,800,551,761/126,562.50
  6. Step 6: Final answer
    x = 598,917.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.