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Finding the Third Proportional to 113,882.63 and 166,434.75

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Solution

The third proportional to 113,882.63 and 166,434.75 is: 243,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,882.63 : 166,434.75 = 166,434.75 : x
  2. Step 2: Convert to fraction form
    113,882.63/166,434.75 = 166,434.75/x
  3. Step 3: Cross multiply
    113,882.63x = 166,434.75 × 166,434.75
  4. Step 4: Simplify right side
    113,882.63x = 27,700,526,007.56
  5. Step 5: Solve for x
    x = 27,700,526,007.56/113,882.63
  6. Step 6: Final answer
    x = 243,237.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.