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Finding the Third Proportional to 132,789 and 203,055

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Solution

The third proportional to 132,789 and 203,055 is: 310,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,789 : 203,055 = 203,055 : x
  2. Step 2: Convert to fraction form
    132,789/203,055 = 203,055/x
  3. Step 3: Cross multiply
    132,789x = 203,055 × 203,055
  4. Step 4: Simplify right side
    132,789x = 41,231,333,025
  5. Step 5: Solve for x
    x = 41,231,333,025/132,789
  6. Step 6: Final answer
    x = 310,502.62

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Why These Related Problems?

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