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Finding the Third Proportional to 73,136 and 109,225

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Solution

The third proportional to 73,136 and 109,225 is: 163,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136 : 109,225 = 109,225 : x
  2. Step 2: Convert to fraction form
    73,136/109,225 = 109,225/x
  3. Step 3: Cross multiply
    73,136x = 109,225 × 109,225
  4. Step 4: Simplify right side
    73,136x = 11,930,100,625
  5. Step 5: Solve for x
    x = 11,930,100,625/73,136
  6. Step 6: Final answer
    x = 163,122.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.