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Finding the Third Proportional to 83,747 and 182,526

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Solution

The third proportional to 83,747 and 182,526 is: 397,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,747 : 182,526 = 182,526 : x
  2. Step 2: Convert to fraction form
    83,747/182,526 = 182,526/x
  3. Step 3: Cross multiply
    83,747x = 182,526 × 182,526
  4. Step 4: Simplify right side
    83,747x = 33,315,740,676
  5. Step 5: Solve for x
    x = 33,315,740,676/83,747
  6. Step 6: Final answer
    x = 397,814.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.