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Finding the Third Proportional to 57,140.44 and 87,161.06

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Solution

The third proportional to 57,140.44 and 87,161.06 is: 132,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,140.44 : 87,161.06 = 87,161.06 : x
  2. Step 2: Convert to fraction form
    57,140.44/87,161.06 = 87,161.06/x
  3. Step 3: Cross multiply
    57,140.44x = 87,161.06 × 87,161.06
  4. Step 4: Simplify right side
    57,140.44x = 7,597,050,816.13
  5. Step 5: Solve for x
    x = 7,597,050,816.13/57,140.44
  6. Step 6: Final answer
    x = 132,954.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.