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Finding the Third Proportional to 133,923.50 and 202,613

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Solution

The third proportional to 133,923.50 and 202,613 is: 306,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,923.50 : 202,613 = 202,613 : x
  2. Step 2: Convert to fraction form
    133,923.50/202,613 = 202,613/x
  3. Step 3: Cross multiply
    133,923.50x = 202,613 × 202,613
  4. Step 4: Simplify right side
    133,923.50x = 41,052,027,769
  5. Step 5: Solve for x
    x = 41,052,027,769/133,923.50
  6. Step 6: Final answer
    x = 306,533.41

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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.