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Finding the Third Proportional to 71,208 and 95,100

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Solution

The third proportional to 71,208 and 95,100 is: 127,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208 : 95,100 = 95,100 : x
  2. Step 2: Convert to fraction form
    71,208/95,100 = 95,100/x
  3. Step 3: Cross multiply
    71,208x = 95,100 × 95,100
  4. Step 4: Simplify right side
    71,208x = 9,044,010,000
  5. Step 5: Solve for x
    x = 9,044,010,000/71,208
  6. Step 6: Final answer
    x = 127,008.34

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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.