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Finding the Third Proportional to 70,953.75 and 151,296.75

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Solution

The third proportional to 70,953.75 and 151,296.75 is: 322,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,953.75 : 151,296.75 = 151,296.75 : x
  2. Step 2: Convert to fraction form
    70,953.75/151,296.75 = 151,296.75/x
  3. Step 3: Cross multiply
    70,953.75x = 151,296.75 × 151,296.75
  4. Step 4: Simplify right side
    70,953.75x = 22,890,706,560.56
  5. Step 5: Solve for x
    x = 22,890,706,560.56/70,953.75
  6. Step 6: Final answer
    x = 322,614.47

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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.