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Finding the Third Proportional to 43,215 and 91,566

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Solution

The third proportional to 43,215 and 91,566 is: 194,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,215 : 91,566 = 91,566 : x
  2. Step 2: Convert to fraction form
    43,215/91,566 = 91,566/x
  3. Step 3: Cross multiply
    43,215x = 91,566 × 91,566
  4. Step 4: Simplify right side
    43,215x = 8,384,332,356
  5. Step 5: Solve for x
    x = 8,384,332,356/43,215
  6. Step 6: Final answer
    x = 194,014.40

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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.