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Finding the Third Proportional to 71,432 and 155,167

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Solution

The third proportional to 71,432 and 155,167 is: 337,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,432 : 155,167 = 155,167 : x
  2. Step 2: Convert to fraction form
    71,432/155,167 = 155,167/x
  3. Step 3: Cross multiply
    71,432x = 155,167 × 155,167
  4. Step 4: Simplify right side
    71,432x = 24,076,797,889
  5. Step 5: Solve for x
    x = 24,076,797,889/71,432
  6. Step 6: Final answer
    x = 337,058.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.