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Finding the Third Proportional to 126,140 and 275,962

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Solution

The third proportional to 126,140 and 275,962 is: 603,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,140 : 275,962 = 275,962 : x
  2. Step 2: Convert to fraction form
    126,140/275,962 = 275,962/x
  3. Step 3: Cross multiply
    126,140x = 275,962 × 275,962
  4. Step 4: Simplify right side
    126,140x = 76,155,025,444
  5. Step 5: Solve for x
    x = 76,155,025,444/126,140
  6. Step 6: Final answer
    x = 603,734.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.