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Finding the Third Proportional to 71,961 and 157,035

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Solution

The third proportional to 71,961 and 157,035 is: 342,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,961 : 157,035 = 157,035 : x
  2. Step 2: Convert to fraction form
    71,961/157,035 = 157,035/x
  3. Step 3: Cross multiply
    71,961x = 157,035 × 157,035
  4. Step 4: Simplify right side
    71,961x = 24,659,991,225
  5. Step 5: Solve for x
    x = 24,659,991,225/71,961
  6. Step 6: Final answer
    x = 342,685.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.