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Finding the Third Proportional to 71,225 and 151,983

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Solution

The third proportional to 71,225 and 151,983 is: 324,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,225 : 151,983 = 151,983 : x
  2. Step 2: Convert to fraction form
    71,225/151,983 = 151,983/x
  3. Step 3: Cross multiply
    71,225x = 151,983 × 151,983
  4. Step 4: Simplify right side
    71,225x = 23,098,832,289
  5. Step 5: Solve for x
    x = 23,098,832,289/71,225
  6. Step 6: Final answer
    x = 324,307.93

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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.