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Finding the Third Proportional to 81,826 and 176,544

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Solution

The third proportional to 81,826 and 176,544 is: 380,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,826 : 176,544 = 176,544 : x
  2. Step 2: Convert to fraction form
    81,826/176,544 = 176,544/x
  3. Step 3: Cross multiply
    81,826x = 176,544 × 176,544
  4. Step 4: Simplify right side
    81,826x = 31,167,783,936
  5. Step 5: Solve for x
    x = 31,167,783,936/81,826
  6. Step 6: Final answer
    x = 380,903.18

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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.