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Finding the Third Proportional to 122,593.50 and 189,904.50

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Solution

The third proportional to 122,593.50 and 189,904.50 is: 294,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,593.50 : 189,904.50 = 189,904.50 : x
  2. Step 2: Convert to fraction form
    122,593.50/189,904.50 = 189,904.50/x
  3. Step 3: Cross multiply
    122,593.50x = 189,904.50 × 189,904.50
  4. Step 4: Simplify right side
    122,593.50x = 36,063,719,120.25
  5. Step 5: Solve for x
    x = 36,063,719,120.25/122,593.50
  6. Step 6: Final answer
    x = 294,173.17

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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.