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Finding the Third Proportional to 132,192 and 176,208

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Solution

The third proportional to 132,192 and 176,208 is: 234,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,192 : 176,208 = 176,208 : x
  2. Step 2: Convert to fraction form
    132,192/176,208 = 176,208/x
  3. Step 3: Cross multiply
    132,192x = 176,208 × 176,208
  4. Step 4: Simplify right side
    132,192x = 31,049,259,264
  5. Step 5: Solve for x
    x = 31,049,259,264/132,192
  6. Step 6: Final answer
    x = 234,880.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.