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Finding the Third Proportional to 57,213 and 132,882.75

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Solution

The third proportional to 57,213 and 132,882.75 is: 308,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213 : 132,882.75 = 132,882.75 : x
  2. Step 2: Convert to fraction form
    57,213/132,882.75 = 132,882.75/x
  3. Step 3: Cross multiply
    57,213x = 132,882.75 × 132,882.75
  4. Step 4: Simplify right side
    57,213x = 17,657,825,247.56
  5. Step 5: Solve for x
    x = 17,657,825,247.56/57,213
  6. Step 6: Final answer
    x = 308,633.09

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.