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Finding the Third Proportional to 74,222 and 151,035

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Solution

The third proportional to 74,222 and 151,035 is: 307,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,222 : 151,035 = 151,035 : x
  2. Step 2: Convert to fraction form
    74,222/151,035 = 151,035/x
  3. Step 3: Cross multiply
    74,222x = 151,035 × 151,035
  4. Step 4: Simplify right side
    74,222x = 22,811,571,225
  5. Step 5: Solve for x
    x = 22,811,571,225/74,222
  6. Step 6: Final answer
    x = 307,342.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.