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Finding the Third Proportional to 43,074.75 and 91,263

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Solution

The third proportional to 43,074.75 and 91,263 is: 193,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,074.75 : 91,263 = 91,263 : x
  2. Step 2: Convert to fraction form
    43,074.75/91,263 = 91,263/x
  3. Step 3: Cross multiply
    43,074.75x = 91,263 × 91,263
  4. Step 4: Simplify right side
    43,074.75x = 8,328,935,169
  5. Step 5: Solve for x
    x = 8,328,935,169/43,074.75
  6. Step 6: Final answer
    x = 193,360.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.