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Finding the Third Proportional to 133,099 and 201,032

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Solution

The third proportional to 133,099 and 201,032 is: 303,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,099 : 201,032 = 201,032 : x
  2. Step 2: Convert to fraction form
    133,099/201,032 = 201,032/x
  3. Step 3: Cross multiply
    133,099x = 201,032 × 201,032
  4. Step 4: Simplify right side
    133,099x = 40,413,865,024
  5. Step 5: Solve for x
    x = 40,413,865,024/133,099
  6. Step 6: Final answer
    x = 303,637.63

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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.