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Finding the Third Proportional to 132,146 and 188,376

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Solution

The third proportional to 132,146 and 188,376 is: 268,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146 : 188,376 = 188,376 : x
  2. Step 2: Convert to fraction form
    132,146/188,376 = 188,376/x
  3. Step 3: Cross multiply
    132,146x = 188,376 × 188,376
  4. Step 4: Simplify right side
    132,146x = 35,485,517,376
  5. Step 5: Solve for x
    x = 35,485,517,376/132,146
  6. Step 6: Final answer
    x = 268,532.66

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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.