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Finding the Third Proportional to 89,930 and 135,127

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Solution

The third proportional to 89,930 and 135,127 is: 203,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,930 : 135,127 = 135,127 : x
  2. Step 2: Convert to fraction form
    89,930/135,127 = 135,127/x
  3. Step 3: Cross multiply
    89,930x = 135,127 × 135,127
  4. Step 4: Simplify right side
    89,930x = 18,259,306,129
  5. Step 5: Solve for x
    x = 18,259,306,129/89,930
  6. Step 6: Final answer
    x = 203,039.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.