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Finding the Third Proportional to 80,751 and 123,952

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Solution

The third proportional to 80,751 and 123,952 is: 190,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,751 : 123,952 = 123,952 : x
  2. Step 2: Convert to fraction form
    80,751/123,952 = 123,952/x
  3. Step 3: Cross multiply
    80,751x = 123,952 × 123,952
  4. Step 4: Simplify right side
    80,751x = 15,364,098,304
  5. Step 5: Solve for x
    x = 15,364,098,304/80,751
  6. Step 6: Final answer
    x = 190,265.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.