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Finding the Third Proportional to 109,800 and 149,136

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Solution

The third proportional to 109,800 and 149,136 is: 202,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,800 : 149,136 = 149,136 : x
  2. Step 2: Convert to fraction form
    109,800/149,136 = 149,136/x
  3. Step 3: Cross multiply
    109,800x = 149,136 × 149,136
  4. Step 4: Simplify right side
    109,800x = 22,241,546,496
  5. Step 5: Solve for x
    x = 22,241,546,496/109,800
  6. Step 6: Final answer
    x = 202,564.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.