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Finding the Third Proportional to 81,441 and 119,250

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Solution

The third proportional to 81,441 and 119,250 is: 174,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,441 : 119,250 = 119,250 : x
  2. Step 2: Convert to fraction form
    81,441/119,250 = 119,250/x
  3. Step 3: Cross multiply
    81,441x = 119,250 × 119,250
  4. Step 4: Simplify right side
    81,441x = 14,220,562,500
  5. Step 5: Solve for x
    x = 14,220,562,500/81,441
  6. Step 6: Final answer
    x = 174,611.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.