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Finding the Third Proportional to 74,212 and 151,015

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Solution

The third proportional to 74,212 and 151,015 is: 307,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,212 : 151,015 = 151,015 : x
  2. Step 2: Convert to fraction form
    74,212/151,015 = 151,015/x
  3. Step 3: Cross multiply
    74,212x = 151,015 × 151,015
  4. Step 4: Simplify right side
    74,212x = 22,805,530,225
  5. Step 5: Solve for x
    x = 22,805,530,225/74,212
  6. Step 6: Final answer
    x = 307,302.46

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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.