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Finding the Third Proportional to 133,065.28 and 202,138.03

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Solution

The third proportional to 133,065.28 and 202,138.03 is: 307,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,065.28 : 202,138.03 = 202,138.03 : x
  2. Step 2: Convert to fraction form
    133,065.28/202,138.03 = 202,138.03/x
  3. Step 3: Cross multiply
    133,065.28x = 202,138.03 × 202,138.03
  4. Step 4: Simplify right side
    133,065.28x = 40,859,783,677.63
  5. Step 5: Solve for x
    x = 40,859,783,677.63/133,065.28
  6. Step 6: Final answer
    x = 307,065.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.