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Finding the Third Proportional to 89,299 and 135,096.50

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Solution

The third proportional to 89,299 and 135,096.50 is: 204,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,299 : 135,096.50 = 135,096.50 : x
  2. Step 2: Convert to fraction form
    89,299/135,096.50 = 135,096.50/x
  3. Step 3: Cross multiply
    89,299x = 135,096.50 × 135,096.50
  4. Step 4: Simplify right side
    89,299x = 18,251,064,312.25
  5. Step 5: Solve for x
    x = 18,251,064,312.25/89,299
  6. Step 6: Final answer
    x = 204,381.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.