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Finding the Third Proportional to 118,620 and 189,715

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Solution

The third proportional to 118,620 and 189,715 is: 303,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,620 : 189,715 = 189,715 : x
  2. Step 2: Convert to fraction form
    118,620/189,715 = 189,715/x
  3. Step 3: Cross multiply
    118,620x = 189,715 × 189,715
  4. Step 4: Simplify right side
    118,620x = 35,991,781,225
  5. Step 5: Solve for x
    x = 35,991,781,225/118,620
  6. Step 6: Final answer
    x = 303,420.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.