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Finding the Third Proportional to 126,945 and 275,773.50

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Solution

The third proportional to 126,945 and 275,773.50 is: 599,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,945 : 275,773.50 = 275,773.50 : x
  2. Step 2: Convert to fraction form
    126,945/275,773.50 = 275,773.50/x
  3. Step 3: Cross multiply
    126,945x = 275,773.50 × 275,773.50
  4. Step 4: Simplify right side
    126,945x = 76,051,023,302.25
  5. Step 5: Solve for x
    x = 76,051,023,302.25/126,945
  6. Step 6: Final answer
    x = 599,086.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.