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Finding the Third Proportional to 133,137 and 201,091.50

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Solution

The third proportional to 133,137 and 201,091.50 is: 303,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,137 : 201,091.50 = 201,091.50 : x
  2. Step 2: Convert to fraction form
    133,137/201,091.50 = 201,091.50/x
  3. Step 3: Cross multiply
    133,137x = 201,091.50 × 201,091.50
  4. Step 4: Simplify right side
    133,137x = 40,437,791,372.25
  5. Step 5: Solve for x
    x = 40,437,791,372.25/133,137
  6. Step 6: Final answer
    x = 303,730.68

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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.