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Finding the Third Proportional to 81,576 and 119,412

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Solution

The third proportional to 81,576 and 119,412 is: 174,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,576 : 119,412 = 119,412 : x
  2. Step 2: Convert to fraction form
    81,576/119,412 = 119,412/x
  3. Step 3: Cross multiply
    81,576x = 119,412 × 119,412
  4. Step 4: Simplify right side
    81,576x = 14,259,225,744
  5. Step 5: Solve for x
    x = 14,259,225,744/81,576
  6. Step 6: Final answer
    x = 174,796.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.