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Finding the Third Proportional to 71,597.25 and 151,026.75

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Solution

The third proportional to 71,597.25 and 151,026.75 is: 318,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,597.25 : 151,026.75 = 151,026.75 : x
  2. Step 2: Convert to fraction form
    71,597.25/151,026.75 = 151,026.75/x
  3. Step 3: Cross multiply
    71,597.25x = 151,026.75 × 151,026.75
  4. Step 4: Simplify right side
    71,597.25x = 22,809,079,215.56
  5. Step 5: Solve for x
    x = 22,809,079,215.56/71,597.25
  6. Step 6: Final answer
    x = 318,574.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.