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Finding the Third Proportional to 132,945.05 and 191,113.17

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Solution

The third proportional to 132,945.05 and 191,113.17 is: 274,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,945.05 : 191,113.17 = 191,113.17 : x
  2. Step 2: Convert to fraction form
    132,945.05/191,113.17 = 191,113.17/x
  3. Step 3: Cross multiply
    132,945.05x = 191,113.17 × 191,113.17
  4. Step 4: Simplify right side
    132,945.05x = 36,524,244,464.12
  5. Step 5: Solve for x
    x = 36,524,244,464.12/132,945.05
  6. Step 6: Final answer
    x = 274,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.