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Finding the Third Proportional to 118,960 and 175,150

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Solution

The third proportional to 118,960 and 175,150 is: 257,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,960 : 175,150 = 175,150 : x
  2. Step 2: Convert to fraction form
    118,960/175,150 = 175,150/x
  3. Step 3: Cross multiply
    118,960x = 175,150 × 175,150
  4. Step 4: Simplify right side
    118,960x = 30,677,522,500
  5. Step 5: Solve for x
    x = 30,677,522,500/118,960
  6. Step 6: Final answer
    x = 257,880.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.