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Finding the Third Proportional to 71,512 and 107,130

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Solution

The third proportional to 71,512 and 107,130 is: 160,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,512 : 107,130 = 107,130 : x
  2. Step 2: Convert to fraction form
    71,512/107,130 = 107,130/x
  3. Step 3: Cross multiply
    71,512x = 107,130 × 107,130
  4. Step 4: Simplify right side
    71,512x = 11,476,836,900
  5. Step 5: Solve for x
    x = 11,476,836,900/71,512
  6. Step 6: Final answer
    x = 160,488.27

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