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Finding the Third Proportional to 126,959 and 273,291.50

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Solution

The third proportional to 126,959 and 273,291.50 is: 588,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,959 : 273,291.50 = 273,291.50 : x
  2. Step 2: Convert to fraction form
    126,959/273,291.50 = 273,291.50/x
  3. Step 3: Cross multiply
    126,959x = 273,291.50 × 273,291.50
  4. Step 4: Simplify right side
    126,959x = 74,688,243,972.25
  5. Step 5: Solve for x
    x = 74,688,243,972.25/126,959
  6. Step 6: Final answer
    x = 588,286.33

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