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Finding the Third Proportional to 70,957 and 118,257

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Solution

The third proportional to 70,957 and 118,257 is: 197,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957 : 118,257 = 118,257 : x
  2. Step 2: Convert to fraction form
    70,957/118,257 = 118,257/x
  3. Step 3: Cross multiply
    70,957x = 118,257 × 118,257
  4. Step 4: Simplify right side
    70,957x = 13,984,718,049
  5. Step 5: Solve for x
    x = 13,984,718,049/70,957
  6. Step 6: Final answer
    x = 197,087.22

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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.