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Finding the Third Proportional to 125,059.50 and 187,245

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Solution

The third proportional to 125,059.50 and 187,245 is: 280,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,059.50 : 187,245 = 187,245 : x
  2. Step 2: Convert to fraction form
    125,059.50/187,245 = 187,245/x
  3. Step 3: Cross multiply
    125,059.50x = 187,245 × 187,245
  4. Step 4: Simplify right side
    125,059.50x = 35,060,690,025
  5. Step 5: Solve for x
    x = 35,060,690,025/125,059.50
  6. Step 6: Final answer
    x = 280,352.07

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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.