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Finding the Third Proportional to 132,294 and 188,601

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Solution

The third proportional to 132,294 and 188,601 is: 268,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,294 : 188,601 = 188,601 : x
  2. Step 2: Convert to fraction form
    132,294/188,601 = 188,601/x
  3. Step 3: Cross multiply
    132,294x = 188,601 × 188,601
  4. Step 4: Simplify right side
    132,294x = 35,570,337,201
  5. Step 5: Solve for x
    x = 35,570,337,201/132,294
  6. Step 6: Final answer
    x = 268,873.40

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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.