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Finding the Third Proportional to 42,704 and 91,576

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Solution

The third proportional to 42,704 and 91,576 is: 196,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,704 : 91,576 = 91,576 : x
  2. Step 2: Convert to fraction form
    42,704/91,576 = 91,576/x
  3. Step 3: Cross multiply
    42,704x = 91,576 × 91,576
  4. Step 4: Simplify right side
    42,704x = 8,386,163,776
  5. Step 5: Solve for x
    x = 8,386,163,776/42,704
  6. Step 6: Final answer
    x = 196,378.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.