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Finding the Third Proportional to 84,088 and 180,932

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Solution

The third proportional to 84,088 and 180,932 is: 389,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,088 : 180,932 = 180,932 : x
  2. Step 2: Convert to fraction form
    84,088/180,932 = 180,932/x
  3. Step 3: Cross multiply
    84,088x = 180,932 × 180,932
  4. Step 4: Simplify right side
    84,088x = 32,736,388,624
  5. Step 5: Solve for x
    x = 32,736,388,624/84,088
  6. Step 6: Final answer
    x = 389,311.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.