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Finding the Third Proportional to 43,697 and 94,535

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Solution

The third proportional to 43,697 and 94,535 is: 204,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,697 : 94,535 = 94,535 : x
  2. Step 2: Convert to fraction form
    43,697/94,535 = 94,535/x
  3. Step 3: Cross multiply
    43,697x = 94,535 × 94,535
  4. Step 4: Simplify right side
    43,697x = 8,936,866,225
  5. Step 5: Solve for x
    x = 8,936,866,225/43,697
  6. Step 6: Final answer
    x = 204,518.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.