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Finding the Third Proportional to 70,957.25 and 118,257.38

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Solution

The third proportional to 70,957.25 and 118,257.38 is: 197,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957.25 : 118,257.38 = 118,257.38 : x
  2. Step 2: Convert to fraction form
    70,957.25/118,257.38 = 118,257.38/x
  3. Step 3: Cross multiply
    70,957.25x = 118,257.38 × 118,257.38
  4. Step 4: Simplify right side
    70,957.25x = 13,984,806,741.89
  5. Step 5: Solve for x
    x = 13,984,806,741.89/70,957.25
  6. Step 6: Final answer
    x = 197,087.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.