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Finding the Third Proportional to 102,003.05 and 135,508.57

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Solution

The third proportional to 102,003.05 and 135,508.57 is: 180,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.05 : 135,508.57 = 135,508.57 : x
  2. Step 2: Convert to fraction form
    102,003.05/135,508.57 = 135,508.57/x
  3. Step 3: Cross multiply
    102,003.05x = 135,508.57 × 135,508.57
  4. Step 4: Simplify right side
    102,003.05x = 18,362,572,628.14
  5. Step 5: Solve for x
    x = 18,362,572,628.14/102,003.05
  6. Step 6: Final answer
    x = 180,019.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.