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Finding the Third Proportional to 71,331 and 151,878

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Solution

The third proportional to 71,331 and 151,878 is: 323,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,331 : 151,878 = 151,878 : x
  2. Step 2: Convert to fraction form
    71,331/151,878 = 151,878/x
  3. Step 3: Cross multiply
    71,331x = 151,878 × 151,878
  4. Step 4: Simplify right side
    71,331x = 23,066,926,884
  5. Step 5: Solve for x
    x = 23,066,926,884/71,331
  6. Step 6: Final answer
    x = 323,378.71

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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.