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Finding the Third Proportional to 133,136 and 201,090

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Solution

The third proportional to 133,136 and 201,090 is: 303,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,136 : 201,090 = 201,090 : x
  2. Step 2: Convert to fraction form
    133,136/201,090 = 201,090/x
  3. Step 3: Cross multiply
    133,136x = 201,090 × 201,090
  4. Step 4: Simplify right side
    133,136x = 40,437,188,100
  5. Step 5: Solve for x
    x = 40,437,188,100/133,136
  6. Step 6: Final answer
    x = 303,728.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.