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Finding the Third Proportional to 71,007 and 153,086

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Solution

The third proportional to 71,007 and 153,086 is: 330,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,007 : 153,086 = 153,086 : x
  2. Step 2: Convert to fraction form
    71,007/153,086 = 153,086/x
  3. Step 3: Cross multiply
    71,007x = 153,086 × 153,086
  4. Step 4: Simplify right side
    71,007x = 23,435,323,396
  5. Step 5: Solve for x
    x = 23,435,323,396/71,007
  6. Step 6: Final answer
    x = 330,042.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.