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Finding the Third Proportional to 126,438.75 and 189,594

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Solution

The third proportional to 126,438.75 and 189,594 is: 284,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,438.75 : 189,594 = 189,594 : x
  2. Step 2: Convert to fraction form
    126,438.75/189,594 = 189,594/x
  3. Step 3: Cross multiply
    126,438.75x = 189,594 × 189,594
  4. Step 4: Simplify right side
    126,438.75x = 35,945,884,836
  5. Step 5: Solve for x
    x = 35,945,884,836/126,438.75
  6. Step 6: Final answer
    x = 284,294.85

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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.