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Finding the Third Proportional to 126,993.50 and 271,482

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Solution

The third proportional to 126,993.50 and 271,482 is: 580,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,993.50 : 271,482 = 271,482 : x
  2. Step 2: Convert to fraction form
    126,993.50/271,482 = 271,482/x
  3. Step 3: Cross multiply
    126,993.50x = 271,482 × 271,482
  4. Step 4: Simplify right side
    126,993.50x = 73,702,476,324
  5. Step 5: Solve for x
    x = 73,702,476,324/126,993.50
  6. Step 6: Final answer
    x = 580,364.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.