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Finding the Third Proportional to 70,958.25 and 151,553.25

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Solution

The third proportional to 70,958.25 and 151,553.25 is: 323,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,958.25 : 151,553.25 = 151,553.25 : x
  2. Step 2: Convert to fraction form
    70,958.25/151,553.25 = 151,553.25/x
  3. Step 3: Cross multiply
    70,958.25x = 151,553.25 × 151,553.25
  4. Step 4: Simplify right side
    70,958.25x = 22,968,387,585.56
  5. Step 5: Solve for x
    x = 22,968,387,585.56/70,958.25
  6. Step 6: Final answer
    x = 323,688.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.