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Finding the Third Proportional to 133,441.17 and 191,123.30

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Solution

The third proportional to 133,441.17 and 191,123.30 is: 273,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,441.17 : 191,123.30 = 191,123.30 : x
  2. Step 2: Convert to fraction form
    133,441.17/191,123.30 = 191,123.30/x
  3. Step 3: Cross multiply
    133,441.17x = 191,123.30 × 191,123.30
  4. Step 4: Simplify right side
    133,441.17x = 36,528,114,608.37
  5. Step 5: Solve for x
    x = 36,528,114,608.37/133,441.17
  6. Step 6: Final answer
    x = 273,739.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.