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Finding the Third Proportional to 71,145.35 and 151,507.97

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Solution

The third proportional to 71,145.35 and 151,507.97 is: 322,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145.35 : 151,507.97 = 151,507.97 : x
  2. Step 2: Convert to fraction form
    71,145.35/151,507.97 = 151,507.97/x
  3. Step 3: Cross multiply
    71,145.35x = 151,507.97 × 151,507.97
  4. Step 4: Simplify right side
    71,145.35x = 22,954,664,594.75
  5. Step 5: Solve for x
    x = 22,954,664,594.75/71,145.35
  6. Step 6: Final answer
    x = 322,644.62

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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.