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Finding the Third Proportional to 81,840 and 176,568

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Solution

The third proportional to 81,840 and 176,568 is: 380,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840 : 176,568 = 176,568 : x
  2. Step 2: Convert to fraction form
    81,840/176,568 = 176,568/x
  3. Step 3: Cross multiply
    81,840x = 176,568 × 176,568
  4. Step 4: Simplify right side
    81,840x = 31,176,258,624
  5. Step 5: Solve for x
    x = 31,176,258,624/81,840
  6. Step 6: Final answer
    x = 380,941.58

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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.