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Finding the Third Proportional to 71,010 and 96,147

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Solution

The third proportional to 71,010 and 96,147 is: 130,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,010 : 96,147 = 96,147 : x
  2. Step 2: Convert to fraction form
    71,010/96,147 = 96,147/x
  3. Step 3: Cross multiply
    71,010x = 96,147 × 96,147
  4. Step 4: Simplify right side
    71,010x = 9,244,245,609
  5. Step 5: Solve for x
    x = 9,244,245,609/71,010
  6. Step 6: Final answer
    x = 130,182.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.