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Finding the Third Proportional to 133,052.63 and 191,273.06

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Solution

The third proportional to 133,052.63 and 191,273.06 is: 274,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,052.63 : 191,273.06 = 191,273.06 : x
  2. Step 2: Convert to fraction form
    133,052.63/191,273.06 = 191,273.06/x
  3. Step 3: Cross multiply
    133,052.63x = 191,273.06 × 191,273.06
  4. Step 4: Simplify right side
    133,052.63x = 36,585,384,438.13
  5. Step 5: Solve for x
    x = 36,585,384,438.13/133,052.63
  6. Step 6: Final answer
    x = 274,969.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.