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Finding the Third Proportional to 83,616 and 178,576

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Solution

The third proportional to 83,616 and 178,576 is: 381,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,616 : 178,576 = 178,576 : x
  2. Step 2: Convert to fraction form
    83,616/178,576 = 178,576/x
  3. Step 3: Cross multiply
    83,616x = 178,576 × 178,576
  4. Step 4: Simplify right side
    83,616x = 31,889,387,776
  5. Step 5: Solve for x
    x = 31,889,387,776/83,616
  6. Step 6: Final answer
    x = 381,379.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.