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Finding the Third Proportional to 122,236.50 and 189,114

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Solution

The third proportional to 122,236.50 and 189,114 is: 292,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,236.50 : 189,114 = 189,114 : x
  2. Step 2: Convert to fraction form
    122,236.50/189,114 = 189,114/x
  3. Step 3: Cross multiply
    122,236.50x = 189,114 × 189,114
  4. Step 4: Simplify right side
    122,236.50x = 35,764,104,996
  5. Step 5: Solve for x
    x = 35,764,104,996/122,236.50
  6. Step 6: Final answer
    x = 292,581.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.