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Finding the Third Proportional to 132,918 and 189,585

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Solution

The third proportional to 132,918 and 189,585 is: 270,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,918 : 189,585 = 189,585 : x
  2. Step 2: Convert to fraction form
    132,918/189,585 = 189,585/x
  3. Step 3: Cross multiply
    132,918x = 189,585 × 189,585
  4. Step 4: Simplify right side
    132,918x = 35,942,472,225
  5. Step 5: Solve for x
    x = 35,942,472,225/132,918
  6. Step 6: Final answer
    x = 270,410.87

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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.