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Finding the Third Proportional to 71,208 and 151,948

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Solution

The third proportional to 71,208 and 151,948 is: 324,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208 : 151,948 = 151,948 : x
  2. Step 2: Convert to fraction form
    71,208/151,948 = 151,948/x
  3. Step 3: Cross multiply
    71,208x = 151,948 × 151,948
  4. Step 4: Simplify right side
    71,208x = 23,088,194,704
  5. Step 5: Solve for x
    x = 23,088,194,704/71,208
  6. Step 6: Final answer
    x = 324,235.97

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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.