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Finding the Third Proportional to 71,116 and 95,425

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Solution

The third proportional to 71,116 and 95,425 is: 128,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,116 : 95,425 = 95,425 : x
  2. Step 2: Convert to fraction form
    71,116/95,425 = 95,425/x
  3. Step 3: Cross multiply
    71,116x = 95,425 × 95,425
  4. Step 4: Simplify right side
    71,116x = 9,105,930,625
  5. Step 5: Solve for x
    x = 9,105,930,625/71,116
  6. Step 6: Final answer
    x = 128,043.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.