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Finding the Third Proportional to 116,531 and 176,372

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Solution

The third proportional to 116,531 and 176,372 is: 266,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,531 : 176,372 = 176,372 : x
  2. Step 2: Convert to fraction form
    116,531/176,372 = 176,372/x
  3. Step 3: Cross multiply
    116,531x = 176,372 × 176,372
  4. Step 4: Simplify right side
    116,531x = 31,107,082,384
  5. Step 5: Solve for x
    x = 31,107,082,384/116,531
  6. Step 6: Final answer
    x = 266,942.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.