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Finding the Third Proportional to 71,171 and 106,710

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Solution

The third proportional to 71,171 and 106,710 is: 159,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,171 : 106,710 = 106,710 : x
  2. Step 2: Convert to fraction form
    71,171/106,710 = 106,710/x
  3. Step 3: Cross multiply
    71,171x = 106,710 × 106,710
  4. Step 4: Simplify right side
    71,171x = 11,387,024,100
  5. Step 5: Solve for x
    x = 11,387,024,100/71,171
  6. Step 6: Final answer
    x = 159,995.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.