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Finding the Third Proportional to 84,863 and 176,699

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Solution

The third proportional to 84,863 and 176,699 is: 367,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,863 : 176,699 = 176,699 : x
  2. Step 2: Convert to fraction form
    84,863/176,699 = 176,699/x
  3. Step 3: Cross multiply
    84,863x = 176,699 × 176,699
  4. Step 4: Simplify right side
    84,863x = 31,222,536,601
  5. Step 5: Solve for x
    x = 31,222,536,601/84,863
  6. Step 6: Final answer
    x = 367,916.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.