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Finding the Third Proportional to 43,202 and 94,423

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Solution

The third proportional to 43,202 and 94,423 is: 206,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,202 : 94,423 = 94,423 : x
  2. Step 2: Convert to fraction form
    43,202/94,423 = 94,423/x
  3. Step 3: Cross multiply
    43,202x = 94,423 × 94,423
  4. Step 4: Simplify right side
    43,202x = 8,915,702,929
  5. Step 5: Solve for x
    x = 8,915,702,929/43,202
  6. Step 6: Final answer
    x = 206,372.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.