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Finding the Third Proportional to 132,900.75 and 289,129.50

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Solution

The third proportional to 132,900.75 and 289,129.50 is: 629,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,900.75 : 289,129.50 = 289,129.50 : x
  2. Step 2: Convert to fraction form
    132,900.75/289,129.50 = 289,129.50/x
  3. Step 3: Cross multiply
    132,900.75x = 289,129.50 × 289,129.50
  4. Step 4: Simplify right side
    132,900.75x = 83,595,867,770.25
  5. Step 5: Solve for x
    x = 83,595,867,770.25/132,900.75
  6. Step 6: Final answer
    x = 629,009.75

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