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Finding the Third Proportional to 133,501.29 and 271,960.03

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Solution

The third proportional to 133,501.29 and 271,960.03 is: 554,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,501.29 : 271,960.03 = 271,960.03 : x
  2. Step 2: Convert to fraction form
    133,501.29/271,960.03 = 271,960.03/x
  3. Step 3: Cross multiply
    133,501.29x = 271,960.03 × 271,960.03
  4. Step 4: Simplify right side
    133,501.29x = 73,962,258,597.50
  5. Step 5: Solve for x
    x = 73,962,258,597.50/133,501.29
  6. Step 6: Final answer
    x = 554,019.06

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.