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Finding the Third Proportional to 84,872 and 176,717

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Solution

The third proportional to 84,872 and 176,717 is: 367,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,872 : 176,717 = 176,717 : x
  2. Step 2: Convert to fraction form
    84,872/176,717 = 176,717/x
  3. Step 3: Cross multiply
    84,872x = 176,717 × 176,717
  4. Step 4: Simplify right side
    84,872x = 31,228,898,089
  5. Step 5: Solve for x
    x = 31,228,898,089/84,872
  6. Step 6: Final answer
    x = 367,952.89

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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.