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Finding the Third Proportional to 43,732 and 90,576

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Solution

The third proportional to 43,732 and 90,576 is: 187,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,732 : 90,576 = 90,576 : x
  2. Step 2: Convert to fraction form
    43,732/90,576 = 90,576/x
  3. Step 3: Cross multiply
    43,732x = 90,576 × 90,576
  4. Step 4: Simplify right side
    43,732x = 8,204,011,776
  5. Step 5: Solve for x
    x = 8,204,011,776/43,732
  6. Step 6: Final answer
    x = 187,597.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.