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Finding the Third Proportional to 132,260.63 and 189,057.38

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Solution

The third proportional to 132,260.63 and 189,057.38 is: 270,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,260.63 : 189,057.38 = 189,057.38 : x
  2. Step 2: Convert to fraction form
    132,260.63/189,057.38 = 189,057.38/x
  3. Step 3: Cross multiply
    132,260.63x = 189,057.38 × 189,057.38
  4. Step 4: Simplify right side
    132,260.63x = 35,742,691,041.89
  5. Step 5: Solve for x
    x = 35,742,691,041.89/132,260.63
  6. Step 6: Final answer
    x = 270,244.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.