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Finding the Third Proportional to 132,263.44 and 189,062.44

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Solution

The third proportional to 132,263.44 and 189,062.44 is: 270,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,263.44 : 189,062.44 = 189,062.44 : x
  2. Step 2: Convert to fraction form
    132,263.44/189,062.44 = 189,062.44/x
  3. Step 3: Cross multiply
    132,263.44x = 189,062.44 × 189,062.44
  4. Step 4: Simplify right side
    132,263.44x = 35,744,605,273.44
  5. Step 5: Solve for x
    x = 35,744,605,273.44/132,263.44
  6. Step 6: Final answer
    x = 270,253.11

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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.