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Finding the Third Proportional to 89,028.75 and 210,160.88

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Solution

The third proportional to 89,028.75 and 210,160.88 is: 496,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,028.75 : 210,160.88 = 210,160.88 : x
  2. Step 2: Convert to fraction form
    89,028.75/210,160.88 = 210,160.88/x
  3. Step 3: Cross multiply
    89,028.75x = 210,160.88 × 210,160.88
  4. Step 4: Simplify right side
    89,028.75x = 44,167,593,380.77
  5. Step 5: Solve for x
    x = 44,167,593,380.77/89,028.75
  6. Step 6: Final answer
    x = 496,104.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.