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Finding the Third Proportional to 81,786 and 176,462

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Solution

The third proportional to 81,786 and 176,462 is: 380,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,786 : 176,462 = 176,462 : x
  2. Step 2: Convert to fraction form
    81,786/176,462 = 176,462/x
  3. Step 3: Cross multiply
    81,786x = 176,462 × 176,462
  4. Step 4: Simplify right side
    81,786x = 31,138,837,444
  5. Step 5: Solve for x
    x = 31,138,837,444/81,786
  6. Step 6: Final answer
    x = 380,735.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.