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Finding the Third Proportional to 89,181 and 121,469.63

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Solution

The third proportional to 89,181 and 121,469.63 is: 165,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181 : 121,469.63 = 121,469.63 : x
  2. Step 2: Convert to fraction form
    89,181/121,469.63 = 121,469.63/x
  3. Step 3: Cross multiply
    89,181x = 121,469.63 × 121,469.63
  4. Step 4: Simplify right side
    89,181x = 14,754,869,797.64
  5. Step 5: Solve for x
    x = 14,754,869,797.64/89,181
  6. Step 6: Final answer
    x = 165,448.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.