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Finding the Third Proportional to 71,001 and 151,476

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Solution

The third proportional to 71,001 and 151,476 is: 323,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,001 : 151,476 = 151,476 : x
  2. Step 2: Convert to fraction form
    71,001/151,476 = 151,476/x
  3. Step 3: Cross multiply
    71,001x = 151,476 × 151,476
  4. Step 4: Simplify right side
    71,001x = 22,944,978,576
  5. Step 5: Solve for x
    x = 22,944,978,576/71,001
  6. Step 6: Final answer
    x = 323,164.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.